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Finding the Fourth Proportional to 83,264.16, 114,904.32 and 47,455.68

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Solution

The fourth proportional to 83,264.16, 114,904.32 and 47,455.68 is: 65,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,264.16 : 114,904.32 = 47,455.68 : x
  2. Step 2: Convert to fraction form
    83,264.16/114,904.32 = 47,455.68/x
  3. Step 3: Cross multiply
    83,264.16x = 114,904.32 × 47,455.68
  4. Step 4: Simplify right side
    83,264.16x = 5,452,862,640.54
  5. Step 5: Solve for x
    x = 5,452,862,640.54/83,264.16
  6. Step 6: Final answer
    x = 65,488.71

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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.