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Finding the Fourth Proportional to 31,681.80, 47,522.70 and 16,129.80

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Solution

The fourth proportional to 31,681.80, 47,522.70 and 16,129.80 is: 24,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681.80 : 47,522.70 = 16,129.80 : x
  2. Step 2: Convert to fraction form
    31,681.80/47,522.70 = 16,129.80/x
  3. Step 3: Cross multiply
    31,681.80x = 47,522.70 × 16,129.80
  4. Step 4: Simplify right side
    31,681.80x = 766,531,646.46
  5. Step 5: Solve for x
    x = 766,531,646.46/31,681.80
  6. Step 6: Final answer
    x = 24,194.70

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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.