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Finding the Fourth Proportional to 78,405.87, 108,200.19 and 42,595.91

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Solution

The fourth proportional to 78,405.87, 108,200.19 and 42,595.91 is: 58,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,405.87 : 108,200.19 = 42,595.91 : x
  2. Step 2: Convert to fraction form
    78,405.87/108,200.19 = 42,595.91/x
  3. Step 3: Cross multiply
    78,405.87x = 108,200.19 × 42,595.91
  4. Step 4: Simplify right side
    78,405.87x = 4,608,885,014.22
  5. Step 5: Solve for x
    x = 4,608,885,014.22/78,405.87
  6. Step 6: Final answer
    x = 58,782.40

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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.