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Finding the Fourth Proportional to 32,424, 44,745.12 and 17,520

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Solution

The fourth proportional to 32,424, 44,745.12 and 17,520 is: 24,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,424 : 44,745.12 = 17,520 : x
  2. Step 2: Convert to fraction form
    32,424/44,745.12 = 17,520/x
  3. Step 3: Cross multiply
    32,424x = 44,745.12 × 17,520
  4. Step 4: Simplify right side
    32,424x = 783,934,502.40
  5. Step 5: Solve for x
    x = 783,934,502.40/32,424
  6. Step 6: Final answer
    x = 24,177.60

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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.