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Finding the Fourth Proportional to 78,137.28, 107,829.02 and 42,327.99

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Solution

The fourth proportional to 78,137.28, 107,829.02 and 42,327.99 is: 58,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,137.28 : 107,829.02 = 42,327.99 : x
  2. Step 2: Convert to fraction form
    78,137.28/107,829.02 = 42,327.99/x
  3. Step 3: Cross multiply
    78,137.28x = 107,829.02 × 42,327.99
  4. Step 4: Simplify right side
    78,137.28x = 4,564,185,468.63
  5. Step 5: Solve for x
    x = 4,564,185,468.63/78,137.28
  6. Step 6: Final answer
    x = 58,412.39

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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.