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Finding the Fourth Proportional to 78,137.55, 107,830.34 and 42,327.56

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Solution

The fourth proportional to 78,137.55, 107,830.34 and 42,327.56 is: 58,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,137.55 : 107,830.34 = 42,327.56 : x
  2. Step 2: Convert to fraction form
    78,137.55/107,830.34 = 42,327.56/x
  3. Step 3: Cross multiply
    78,137.55x = 107,830.34 × 42,327.56
  4. Step 4: Simplify right side
    78,137.55x = 4,564,195,186.17
  5. Step 5: Solve for x
    x = 4,564,195,186.17/78,137.55
  6. Step 6: Final answer
    x = 58,412.32

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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.