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Finding the Fourth Proportional to 29,432.00, 44,141.81 and 9,705.93

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Solution

The fourth proportional to 29,432.00, 44,141.81 and 9,705.93 is: 14,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,432.00 : 44,141.81 = 9,705.93 : x
  2. Step 2: Convert to fraction form
    29,432.00/44,141.81 = 9,705.93/x
  3. Step 3: Cross multiply
    29,432.00x = 44,141.81 × 9,705.93
  4. Step 4: Simplify right side
    29,432.00x = 428,437,269.40
  5. Step 5: Solve for x
    x = 428,437,269.40/29,432.00
  6. Step 6: Final answer
    x = 14,556.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.