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Finding the Fourth Proportional to 38,041.44, 52,479.44 and 24,617

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Solution

The fourth proportional to 38,041.44, 52,479.44 and 24,617 is: 33,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,041.44 : 52,479.44 = 24,617 : x
  2. Step 2: Convert to fraction form
    38,041.44/52,479.44 = 24,617/x
  3. Step 3: Cross multiply
    38,041.44x = 52,479.44 × 24,617
  4. Step 4: Simplify right side
    38,041.44x = 1,291,886,374.48
  5. Step 5: Solve for x
    x = 1,291,886,374.48/38,041.44
  6. Step 6: Final answer
    x = 33,959.98

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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.