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Finding the Fourth Proportional to 32,988.35, 49,490.96 and 9,614.72

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Solution

The fourth proportional to 32,988.35, 49,490.96 and 9,614.72 is: 14,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988.35 : 49,490.96 = 9,614.72 : x
  2. Step 2: Convert to fraction form
    32,988.35/49,490.96 = 9,614.72/x
  3. Step 3: Cross multiply
    32,988.35x = 49,490.96 × 9,614.72
  4. Step 4: Simplify right side
    32,988.35x = 475,841,427.40
  5. Step 5: Solve for x
    x = 475,841,427.40/32,988.35
  6. Step 6: Final answer
    x = 14,424.53

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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.