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Finding the Fourth Proportional to 29,691.74, 44,539.86 and 9,970.40

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Solution

The fourth proportional to 29,691.74, 44,539.86 and 9,970.40 is: 14,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691.74 : 44,539.86 = 9,970.40 : x
  2. Step 2: Convert to fraction form
    29,691.74/44,539.86 = 9,970.40/x
  3. Step 3: Cross multiply
    29,691.74x = 44,539.86 × 9,970.40
  4. Step 4: Simplify right side
    29,691.74x = 444,080,220.14
  5. Step 5: Solve for x
    x = 444,080,220.14/29,691.74
  6. Step 6: Final answer
    x = 14,956.36

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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.