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Finding the Fourth Proportional to 29,381.17, 44,078.28 and 9,658.93

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Solution

The fourth proportional to 29,381.17, 44,078.28 and 9,658.93 is: 14,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,381.17 : 44,078.28 = 9,658.93 : x
  2. Step 2: Convert to fraction form
    29,381.17/44,078.28 = 9,658.93/x
  3. Step 3: Cross multiply
    29,381.17x = 44,078.28 × 9,658.93
  4. Step 4: Simplify right side
    29,381.17x = 425,749,021.04
  5. Step 5: Solve for x
    x = 425,749,021.04/29,381.17
  6. Step 6: Final answer
    x = 14,490.54

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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.