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Finding the Fourth Proportional to 30,902.80, 46,343.40 and 16,106.80

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Solution

The fourth proportional to 30,902.80, 46,343.40 and 16,106.80 is: 24,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.80 : 46,343.40 = 16,106.80 : x
  2. Step 2: Convert to fraction form
    30,902.80/46,343.40 = 16,106.80/x
  3. Step 3: Cross multiply
    30,902.80x = 46,343.40 × 16,106.80
  4. Step 4: Simplify right side
    30,902.80x = 746,443,875.12
  5. Step 5: Solve for x
    x = 746,443,875.12/30,902.80
  6. Step 6: Final answer
    x = 24,154.57

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1.5x scale

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.