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Finding the Fourth Proportional to 29,531.61, 44,285.10 and 9,263.15

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Solution

The fourth proportional to 29,531.61, 44,285.10 and 9,263.15 is: 13,890.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,531.61 : 44,285.10 = 9,263.15 : x
  2. Step 2: Convert to fraction form
    29,531.61/44,285.10 = 9,263.15/x
  3. Step 3: Cross multiply
    29,531.61x = 44,285.10 × 9,263.15
  4. Step 4: Simplify right side
    29,531.61x = 410,219,256.32
  5. Step 5: Solve for x
    x = 410,219,256.32/29,531.61
  6. Step 6: Final answer
    x = 13,890.85

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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.