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Finding the Fourth Proportional to 49,695.64, 74,543.47 and 34,065.88

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Solution

The fourth proportional to 49,695.64, 74,543.47 and 34,065.88 is: 51,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,695.64 : 74,543.47 = 34,065.88 : x
  2. Step 2: Convert to fraction form
    49,695.64/74,543.47 = 34,065.88/x
  3. Step 3: Cross multiply
    49,695.64x = 74,543.47 × 34,065.88
  4. Step 4: Simplify right side
    49,695.64x = 2,539,388,903.80
  5. Step 5: Solve for x
    x = 2,539,388,903.80/49,695.64
  6. Step 6: Final answer
    x = 51,098.83

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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.