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Finding the Fourth Proportional to 78,508.38, 108,338.45 and 42,698.37

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Solution

The fourth proportional to 78,508.38, 108,338.45 and 42,698.37 is: 58,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508.38 : 108,338.45 = 42,698.37 : x
  2. Step 2: Convert to fraction form
    78,508.38/108,338.45 = 42,698.37/x
  3. Step 3: Cross multiply
    78,508.38x = 108,338.45 × 42,698.37
  4. Step 4: Simplify right side
    78,508.38x = 4,625,875,009.83
  5. Step 5: Solve for x
    x = 4,625,875,009.83/78,508.38
  6. Step 6: Final answer
    x = 58,922.05

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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.