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Finding the Fourth Proportional to 29,398.64, 44,081.34 and 9,671.90

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Solution

The fourth proportional to 29,398.64, 44,081.34 and 9,671.90 is: 14,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,398.64 : 44,081.34 = 9,671.90 : x
  2. Step 2: Convert to fraction form
    29,398.64/44,081.34 = 9,671.90/x
  3. Step 3: Cross multiply
    29,398.64x = 44,081.34 × 9,671.90
  4. Step 4: Simplify right side
    29,398.64x = 426,350,312.35
  5. Step 5: Solve for x
    x = 426,350,312.35/29,398.64
  6. Step 6: Final answer
    x = 14,502.38

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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.