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Finding the Fourth Proportional to 29,712.88, 44,538.60 and 9,984.79

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Solution

The fourth proportional to 29,712.88, 44,538.60 and 9,984.79 is: 14,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712.88 : 44,538.60 = 9,984.79 : x
  2. Step 2: Convert to fraction form
    29,712.88/44,538.60 = 9,984.79/x
  3. Step 3: Cross multiply
    29,712.88x = 44,538.60 × 9,984.79
  4. Step 4: Simplify right side
    29,712.88x = 444,708,567.89
  5. Step 5: Solve for x
    x = 444,708,567.89/29,712.88
  6. Step 6: Final answer
    x = 14,966.86

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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.