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Finding the Fourth Proportional to 29,702.31, 44,548.81 and 9,711.67

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Solution

The fourth proportional to 29,702.31, 44,548.81 and 9,711.67 is: 14,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702.31 : 44,548.81 = 9,711.67 : x
  2. Step 2: Convert to fraction form
    29,702.31/44,548.81 = 9,711.67/x
  3. Step 3: Cross multiply
    29,702.31x = 44,548.81 × 9,711.67
  4. Step 4: Simplify right side
    29,702.31x = 432,643,205.96
  5. Step 5: Solve for x
    x = 432,643,205.96/29,702.31
  6. Step 6: Final answer
    x = 14,565.98

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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.