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Finding the Fourth Proportional to 37,689.98, 52,001.48 and 24,269

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Solution

The fourth proportional to 37,689.98, 52,001.48 and 24,269 is: 33,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,689.98 : 52,001.48 = 24,269 : x
  2. Step 2: Convert to fraction form
    37,689.98/52,001.48 = 24,269/x
  3. Step 3: Cross multiply
    37,689.98x = 52,001.48 × 24,269
  4. Step 4: Simplify right side
    37,689.98x = 1,262,023,918.12
  5. Step 5: Solve for x
    x = 1,262,023,918.12/37,689.98
  6. Step 6: Final answer
    x = 33,484.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.