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Finding the Fourth Proportional to 91,695.84, 126,564.24 and 53,982.24

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Solution

The fourth proportional to 91,695.84, 126,564.24 and 53,982.24 is: 74,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,695.84 : 126,564.24 = 53,982.24 : x
  2. Step 2: Convert to fraction form
    91,695.84/126,564.24 = 53,982.24/x
  3. Step 3: Cross multiply
    91,695.84x = 126,564.24 × 53,982.24
  4. Step 4: Simplify right side
    91,695.84x = 6,832,221,179.10
  5. Step 5: Solve for x
    x = 6,832,221,179.10/91,695.84
  6. Step 6: Final answer
    x = 74,509.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.