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Finding the Fourth Proportional to 42,246.84, 63,373.68 and 11,082

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Solution

The fourth proportional to 42,246.84, 63,373.68 and 11,082 is: 16,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,246.84 : 63,373.68 = 11,082 : x
  2. Step 2: Convert to fraction form
    42,246.84/63,373.68 = 11,082/x
  3. Step 3: Cross multiply
    42,246.84x = 63,373.68 × 11,082
  4. Step 4: Simplify right side
    42,246.84x = 702,307,121.76
  5. Step 5: Solve for x
    x = 702,307,121.76/42,246.84
  6. Step 6: Final answer
    x = 16,623.90

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Why These Related Problems?

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