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Finding the Fourth Proportional to 78,124.05, 107,811.15 and 42,314.06

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Solution

The fourth proportional to 78,124.05, 107,811.15 and 42,314.06 is: 58,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,124.05 : 107,811.15 = 42,314.06 : x
  2. Step 2: Convert to fraction form
    78,124.05/107,811.15 = 42,314.06/x
  3. Step 3: Cross multiply
    78,124.05x = 107,811.15 × 42,314.06
  4. Step 4: Simplify right side
    78,124.05x = 4,561,926,930.71
  5. Step 5: Solve for x
    x = 4,561,926,930.71/78,124.05
  6. Step 6: Final answer
    x = 58,393.37

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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.