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Finding the Fourth Proportional to 41,734, 57,595.48 and 24,070

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Solution

The fourth proportional to 41,734, 57,595.48 and 24,070 is: 33,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,734 : 57,595.48 = 24,070 : x
  2. Step 2: Convert to fraction form
    41,734/57,595.48 = 24,070/x
  3. Step 3: Cross multiply
    41,734x = 57,595.48 × 24,070
  4. Step 4: Simplify right side
    41,734x = 1,386,323,203.60
  5. Step 5: Solve for x
    x = 1,386,323,203.60/41,734
  6. Step 6: Final answer
    x = 33,218.08

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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.