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Finding the Fourth Proportional to 78,405.12, 108,199.17 and 42,595.16

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Solution

The fourth proportional to 78,405.12, 108,199.17 and 42,595.16 is: 58,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,405.12 : 108,199.17 = 42,595.16 : x
  2. Step 2: Convert to fraction form
    78,405.12/108,199.17 = 42,595.16/x
  3. Step 3: Cross multiply
    78,405.12x = 108,199.17 × 42,595.16
  4. Step 4: Simplify right side
    78,405.12x = 4,608,760,417.02
  5. Step 5: Solve for x
    x = 4,608,760,417.02/78,405.12
  6. Step 6: Final answer
    x = 58,781.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.