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Finding the Fourth Proportional to 24,848.68, 37,261.22 and 9,042.52

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Solution

The fourth proportional to 24,848.68, 37,261.22 and 9,042.52 is: 13,559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,848.68 : 37,261.22 = 9,042.52 : x
  2. Step 2: Convert to fraction form
    24,848.68/37,261.22 = 9,042.52/x
  3. Step 3: Cross multiply
    24,848.68x = 37,261.22 × 9,042.52
  4. Step 4: Simplify right side
    24,848.68x = 336,935,327.07
  5. Step 5: Solve for x
    x = 336,935,327.07/24,848.68
  6. Step 6: Final answer
    x = 13,559.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.