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Finding the Fourth Proportional to 74,281.24, 102,502.02 and 40,747.24

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Solution

The fourth proportional to 74,281.24, 102,502.02 and 40,747.24 is: 56,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,281.24 : 102,502.02 = 40,747.24 : x
  2. Step 2: Convert to fraction form
    74,281.24/102,502.02 = 40,747.24/x
  3. Step 3: Cross multiply
    74,281.24x = 102,502.02 × 40,747.24
  4. Step 4: Simplify right side
    74,281.24x = 4,176,674,409.42
  5. Step 5: Solve for x
    x = 4,176,674,409.42/74,281.24
  6. Step 6: Final answer
    x = 56,227.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.