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Finding the Fourth Proportional to 75,308.59, 112,963.70 and 22,718.53

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Solution

The fourth proportional to 75,308.59, 112,963.70 and 22,718.53 is: 34,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,308.59 : 112,963.70 = 22,718.53 : x
  2. Step 2: Convert to fraction form
    75,308.59/112,963.70 = 22,718.53/x
  3. Step 3: Cross multiply
    75,308.59x = 112,963.70 × 22,718.53
  4. Step 4: Simplify right side
    75,308.59x = 2,566,369,093.77
  5. Step 5: Solve for x
    x = 2,566,369,093.77/75,308.59
  6. Step 6: Final answer
    x = 34,078.04

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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.