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Finding the Fourth Proportional to 83,148.48, 114,746.88 and 45,426.24

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Solution

The fourth proportional to 83,148.48, 114,746.88 and 45,426.24 is: 62,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,148.48 : 114,746.88 = 45,426.24 : x
  2. Step 2: Convert to fraction form
    83,148.48/114,746.88 = 45,426.24/x
  3. Step 3: Cross multiply
    83,148.48x = 114,746.88 × 45,426.24
  4. Step 4: Simplify right side
    83,148.48x = 5,212,519,310.13
  5. Step 5: Solve for x
    x = 5,212,519,310.13/83,148.48
  6. Step 6: Final answer
    x = 62,689.29

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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.