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Finding the Fourth Proportional to 78,471.39, 108,314.24 and 53,335.47

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Solution

The fourth proportional to 78,471.39, 108,314.24 and 53,335.47 is: 73,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,471.39 : 108,314.24 = 53,335.47 : x
  2. Step 2: Convert to fraction form
    78,471.39/108,314.24 = 53,335.47/x
  3. Step 3: Cross multiply
    78,471.39x = 108,314.24 × 53,335.47
  4. Step 4: Simplify right side
    78,471.39x = 5,776,990,631.42
  5. Step 5: Solve for x
    x = 5,776,990,631.42/78,471.39
  6. Step 6: Final answer
    x = 73,619.07

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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.