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Finding the Fourth Proportional to 61,663.24, 92,457.40 and 24,178.40

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Solution

The fourth proportional to 61,663.24, 92,457.40 and 24,178.40 is: 36,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,663.24 : 92,457.40 = 24,178.40 : x
  2. Step 2: Convert to fraction form
    61,663.24/92,457.40 = 24,178.40/x
  3. Step 3: Cross multiply
    61,663.24x = 92,457.40 × 24,178.40
  4. Step 4: Simplify right side
    61,663.24x = 2,235,471,708.57
  5. Step 5: Solve for x
    x = 2,235,471,708.57/61,663.24
  6. Step 6: Final answer
    x = 36,252.91

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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.