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Finding the Fourth Proportional to 30,657,316.80, 45,946,900.80 and 16,287,268.80

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Solution

The fourth proportional to 30,657,316.80, 45,946,900.80 and 16,287,268.80 is: 24,410,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657,316.80 : 45,946,900.80 = 16,287,268.80 : x
  2. Step 2: Convert to fraction form
    30,657,316.80/45,946,900.80 = 16,287,268.80/x
  3. Step 3: Cross multiply
    30,657,316.80x = 45,946,900.80 × 16,287,268.80
  4. Step 4: Simplify right side
    30,657,316.80x = 748,349,523,856,535
  5. Step 5: Solve for x
    x = 748,349,523,856,535/30,657,316.80
  6. Step 6: Final answer
    x = 24,410,144.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.