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Finding the Fourth Proportional to 58,197.84, 87,335.02 and 31,921.02

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Solution

The fourth proportional to 58,197.84, 87,335.02 and 31,921.02 is: 47,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,197.84 : 87,335.02 = 31,921.02 : x
  2. Step 2: Convert to fraction form
    58,197.84/87,335.02 = 31,921.02/x
  3. Step 3: Cross multiply
    58,197.84x = 87,335.02 × 31,921.02
  4. Step 4: Simplify right side
    58,197.84x = 2,787,822,920.12
  5. Step 5: Solve for x
    x = 2,787,822,920.12/58,197.84
  6. Step 6: Final answer
    x = 47,902.52

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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.