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Finding the Fourth Proportional to 29,381.92, 44,058.24 and 9,658.24

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Solution

The fourth proportional to 29,381.92, 44,058.24 and 9,658.24 is: 14,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,381.92 : 44,058.24 = 9,658.24 : x
  2. Step 2: Convert to fraction form
    29,381.92/44,058.24 = 9,658.24/x
  3. Step 3: Cross multiply
    29,381.92x = 44,058.24 × 9,658.24
  4. Step 4: Simplify right side
    29,381.92x = 425,525,055.90
  5. Step 5: Solve for x
    x = 425,525,055.90/29,381.92
  6. Step 6: Final answer
    x = 14,482.55

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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.