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Finding the Fourth Proportional to 29,415.83, 44,123.54 and 9,695.97

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Solution

The fourth proportional to 29,415.83, 44,123.54 and 9,695.97 is: 14,543.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,415.83 : 44,123.54 = 9,695.97 : x
  2. Step 2: Convert to fraction form
    29,415.83/44,123.54 = 9,695.97/x
  3. Step 3: Cross multiply
    29,415.83x = 44,123.54 × 9,695.97
  4. Step 4: Simplify right side
    29,415.83x = 427,820,471.65
  5. Step 5: Solve for x
    x = 427,820,471.65/29,415.83
  6. Step 6: Final answer
    x = 14,543.89

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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.