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Finding the Fourth Proportional to 92,046.40, 138,044.02 and 58,290.44

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Solution

The fourth proportional to 92,046.40, 138,044.02 and 58,290.44 is: 87,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,046.40 : 138,044.02 = 58,290.44 : x
  2. Step 2: Convert to fraction form
    92,046.40/138,044.02 = 58,290.44/x
  3. Step 3: Cross multiply
    92,046.40x = 138,044.02 × 58,290.44
  4. Step 4: Simplify right side
    92,046.40x = 8,046,646,665.17
  5. Step 5: Solve for x
    x = 8,046,646,665.17/92,046.40
  6. Step 6: Final answer
    x = 87,419.46

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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.