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Finding the Fourth Proportional to 83,063.84, 114,642.96 and 49,532

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Solution

The fourth proportional to 83,063.84, 114,642.96 and 49,532 is: 68,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,063.84 : 114,642.96 = 49,532 : x
  2. Step 2: Convert to fraction form
    83,063.84/114,642.96 = 49,532/x
  3. Step 3: Cross multiply
    83,063.84x = 114,642.96 × 49,532
  4. Step 4: Simplify right side
    83,063.84x = 5,678,495,094.72
  5. Step 5: Solve for x
    x = 5,678,495,094.72/83,063.84
  6. Step 6: Final answer
    x = 68,363.02

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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.