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Finding the Fourth Proportional to 78,613.80, 108,470.19 and 46,776.48

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Solution

The fourth proportional to 78,613.80, 108,470.19 and 46,776.48 is: 64,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,613.80 : 108,470.19 = 46,776.48 : x
  2. Step 2: Convert to fraction form
    78,613.80/108,470.19 = 46,776.48/x
  3. Step 3: Cross multiply
    78,613.80x = 108,470.19 × 46,776.48
  4. Step 4: Simplify right side
    78,613.80x = 5,073,853,673.13
  5. Step 5: Solve for x
    x = 5,073,853,673.13/78,613.80
  6. Step 6: Final answer
    x = 64,541.51

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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.