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Finding the Fourth Proportional to 75,691.84, 113,551.12 and 31,293.72

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Solution

The fourth proportional to 75,691.84, 113,551.12 and 31,293.72 is: 46,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,691.84 : 113,551.12 = 31,293.72 : x
  2. Step 2: Convert to fraction form
    75,691.84/113,551.12 = 31,293.72/x
  3. Step 3: Cross multiply
    75,691.84x = 113,551.12 × 31,293.72
  4. Step 4: Simplify right side
    75,691.84x = 3,553,436,954.97
  5. Step 5: Solve for x
    x = 3,553,436,954.97/75,691.84
  6. Step 6: Final answer
    x = 46,946.10

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1.5x scale

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.