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Finding the Fourth Proportional to 78,072.32, 107,739.76 and 42,262.62

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Solution

The fourth proportional to 78,072.32, 107,739.76 and 42,262.62 is: 58,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,072.32 : 107,739.76 = 42,262.62 : x
  2. Step 2: Convert to fraction form
    78,072.32/107,739.76 = 42,262.62/x
  3. Step 3: Cross multiply
    78,072.32x = 107,739.76 × 42,262.62
  4. Step 4: Simplify right side
    78,072.32x = 4,553,364,535.77
  5. Step 5: Solve for x
    x = 4,553,364,535.77/78,072.32
  6. Step 6: Final answer
    x = 58,322.39

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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.