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Finding the Fourth Proportional to 31,646.30, 47,404.65 and 16,072.70

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Solution

The fourth proportional to 31,646.30, 47,404.65 and 16,072.70 is: 24,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646.30 : 47,404.65 = 16,072.70 : x
  2. Step 2: Convert to fraction form
    31,646.30/47,404.65 = 16,072.70/x
  3. Step 3: Cross multiply
    31,646.30x = 47,404.65 × 16,072.70
  4. Step 4: Simplify right side
    31,646.30x = 761,920,718.06
  5. Step 5: Solve for x
    x = 761,920,718.06/31,646.30
  6. Step 6: Final answer
    x = 24,076.14

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