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Finding the Fourth Proportional to 75,114.90, 103,658.59 and 43,283.52

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Solution

The fourth proportional to 75,114.90, 103,658.59 and 43,283.52 is: 59,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114.90 : 103,658.59 = 43,283.52 : x
  2. Step 2: Convert to fraction form
    75,114.90/103,658.59 = 43,283.52/x
  3. Step 3: Cross multiply
    75,114.90x = 103,658.59 × 43,283.52
  4. Step 4: Simplify right side
    75,114.90x = 4,486,708,653.44
  5. Step 5: Solve for x
    x = 4,486,708,653.44/75,114.90
  6. Step 6: Final answer
    x = 59,731.27

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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.