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Finding the Fourth Proportional to 78,511.11, 108,345.84 and 42,701.38

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Solution

The fourth proportional to 78,511.11, 108,345.84 and 42,701.38 is: 58,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,511.11 : 108,345.84 = 42,701.38 : x
  2. Step 2: Convert to fraction form
    78,511.11/108,345.84 = 42,701.38/x
  3. Step 3: Cross multiply
    78,511.11x = 108,345.84 × 42,701.38
  4. Step 4: Simplify right side
    78,511.11x = 4,626,516,454.26
  5. Step 5: Solve for x
    x = 4,626,516,454.26/78,511.11
  6. Step 6: Final answer
    x = 58,928.18

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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.