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Finding the Fourth Proportional to 38,420.92, 53,021.10 and 24,280.12

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Solution

The fourth proportional to 38,420.92, 53,021.10 and 24,280.12 is: 33,506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420.92 : 53,021.10 = 24,280.12 : x
  2. Step 2: Convert to fraction form
    38,420.92/53,021.10 = 24,280.12/x
  3. Step 3: Cross multiply
    38,420.92x = 53,021.10 × 24,280.12
  4. Step 4: Simplify right side
    38,420.92x = 1,287,358,670.53
  5. Step 5: Solve for x
    x = 1,287,358,670.53/38,420.92
  6. Step 6: Final answer
    x = 33,506.71

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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.