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Finding the Fourth Proportional to 40,892.84, 61,352.22 and 14,597

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Solution

The fourth proportional to 40,892.84, 61,352.22 and 14,597 is: 21,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,892.84 : 61,352.22 = 14,597 : x
  2. Step 2: Convert to fraction form
    40,892.84/61,352.22 = 14,597/x
  3. Step 3: Cross multiply
    40,892.84x = 61,352.22 × 14,597
  4. Step 4: Simplify right side
    40,892.84x = 895,558,355.34
  5. Step 5: Solve for x
    x = 895,558,355.34/40,892.84
  6. Step 6: Final answer
    x = 21,900.13

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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.