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Finding the Fourth Proportional to 29,772.90, 44,663.90 and 9,775.76

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Solution

The fourth proportional to 29,772.90, 44,663.90 and 9,775.76 is: 14,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772.90 : 44,663.90 = 9,775.76 : x
  2. Step 2: Convert to fraction form
    29,772.90/44,663.90 = 9,775.76/x
  3. Step 3: Cross multiply
    29,772.90x = 44,663.90 × 9,775.76
  4. Step 4: Simplify right side
    29,772.90x = 436,623,294.87
  5. Step 5: Solve for x
    x = 436,623,294.87/29,772.90
  6. Step 6: Final answer
    x = 14,665.12

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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.