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Finding the Fourth Proportional to 78,148.84, 107,845.30 and 42,339

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Solution

The fourth proportional to 78,148.84, 107,845.30 and 42,339 is: 58,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,148.84 : 107,845.30 = 42,339 : x
  2. Step 2: Convert to fraction form
    78,148.84/107,845.30 = 42,339/x
  3. Step 3: Cross multiply
    78,148.84x = 107,845.30 × 42,339
  4. Step 4: Simplify right side
    78,148.84x = 4,566,062,156.70
  5. Step 5: Solve for x
    x = 4,566,062,156.70/78,148.84
  6. Step 6: Final answer
    x = 58,427.77

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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.