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Finding the Fourth Proportional to 38,174.52, 52,670.07 and 24,746.34

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Solution

The fourth proportional to 38,174.52, 52,670.07 and 24,746.34 is: 34,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,174.52 : 52,670.07 = 24,746.34 : x
  2. Step 2: Convert to fraction form
    38,174.52/52,670.07 = 24,746.34/x
  3. Step 3: Cross multiply
    38,174.52x = 52,670.07 × 24,746.34
  4. Step 4: Simplify right side
    38,174.52x = 1,303,391,460.04
  5. Step 5: Solve for x
    x = 1,303,391,460.04/38,174.52
  6. Step 6: Final answer
    x = 34,142.97

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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.