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Finding the Fourth Proportional to 75,294.60, 112,905.57 and 43,712.61

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Solution

The fourth proportional to 75,294.60, 112,905.57 and 43,712.61 is: 65,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,294.60 : 112,905.57 = 43,712.61 : x
  2. Step 2: Convert to fraction form
    75,294.60/112,905.57 = 43,712.61/x
  3. Step 3: Cross multiply
    75,294.60x = 112,905.57 × 43,712.61
  4. Step 4: Simplify right side
    75,294.60x = 4,935,396,929.67
  5. Step 5: Solve for x
    x = 4,935,396,929.67/75,294.60
  6. Step 6: Final answer
    x = 65,547.82

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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.