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Finding the Fourth Proportional to 74,354.76, 111,549.69 and 24,435

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Solution

The fourth proportional to 74,354.76, 111,549.69 and 24,435 is: 36,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,354.76 : 111,549.69 = 24,435 : x
  2. Step 2: Convert to fraction form
    74,354.76/111,549.69 = 24,435/x
  3. Step 3: Cross multiply
    74,354.76x = 111,549.69 × 24,435
  4. Step 4: Simplify right side
    74,354.76x = 2,725,716,675.15
  5. Step 5: Solve for x
    x = 2,725,716,675.15/74,354.76
  6. Step 6: Final answer
    x = 36,658.27

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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.