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Finding the Fourth Proportional to 78,034.84, 117,064.50 and 25,432.18

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Solution

The fourth proportional to 78,034.84, 117,064.50 and 25,432.18 is: 38,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,034.84 : 117,064.50 = 25,432.18 : x
  2. Step 2: Convert to fraction form
    78,034.84/117,064.50 = 25,432.18/x
  3. Step 3: Cross multiply
    78,034.84x = 117,064.50 × 25,432.18
  4. Step 4: Simplify right side
    78,034.84x = 2,977,205,435.61
  5. Step 5: Solve for x
    x = 2,977,205,435.61/78,034.84
  6. Step 6: Final answer
    x = 38,152.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.