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Finding the Fourth Proportional to 83,689.32, 115,491.68 and 45,448.92

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Solution

The fourth proportional to 83,689.32, 115,491.68 and 45,448.92 is: 62,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,689.32 : 115,491.68 = 45,448.92 : x
  2. Step 2: Convert to fraction form
    83,689.32/115,491.68 = 45,448.92/x
  3. Step 3: Cross multiply
    83,689.32x = 115,491.68 × 45,448.92
  4. Step 4: Simplify right side
    83,689.32x = 5,248,972,124.99
  5. Step 5: Solve for x
    x = 5,248,972,124.99/83,689.32
  6. Step 6: Final answer
    x = 62,719.74

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1.5x scale

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.