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Finding the Fourth Proportional to 32,897.71, 49,354.78 and 9,524.15

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Solution

The fourth proportional to 32,897.71, 49,354.78 and 9,524.15 is: 14,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,897.71 : 49,354.78 = 9,524.15 : x
  2. Step 2: Convert to fraction form
    32,897.71/49,354.78 = 9,524.15/x
  3. Step 3: Cross multiply
    32,897.71x = 49,354.78 × 9,524.15
  4. Step 4: Simplify right side
    32,897.71x = 470,062,327.94
  5. Step 5: Solve for x
    x = 470,062,327.94/32,897.71
  6. Step 6: Final answer
    x = 14,288.60

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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.