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Finding the Fourth Proportional to 83,492.49, 125,240.10 and 24,331.40

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Solution

The fourth proportional to 83,492.49, 125,240.10 and 24,331.40 is: 36,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,492.49 : 125,240.10 = 24,331.40 : x
  2. Step 2: Convert to fraction form
    83,492.49/125,240.10 = 24,331.40/x
  3. Step 3: Cross multiply
    83,492.49x = 125,240.10 × 24,331.40
  4. Step 4: Simplify right side
    83,492.49x = 3,047,266,342.94
  5. Step 5: Solve for x
    x = 3,047,266,342.94/83,492.49
  6. Step 6: Final answer
    x = 36,497.49

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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.