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Finding the Fourth Proportional to 49,673.60, 74,461.80 and 20,051.90

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Solution

The fourth proportional to 49,673.60, 74,461.80 and 20,051.90 is: 30,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,673.60 : 74,461.80 = 20,051.90 : x
  2. Step 2: Convert to fraction form
    49,673.60/74,461.80 = 20,051.90/x
  3. Step 3: Cross multiply
    49,673.60x = 74,461.80 × 20,051.90
  4. Step 4: Simplify right side
    49,673.60x = 1,493,100,567.42
  5. Step 5: Solve for x
    x = 1,493,100,567.42/49,673.60
  6. Step 6: Final answer
    x = 30,058.23

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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.