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Finding the Fourth Proportional to 37,856.29, 52,253.92 and 24,417.17

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Solution

The fourth proportional to 37,856.29, 52,253.92 and 24,417.17 is: 33,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,856.29 : 52,253.92 = 24,417.17 : x
  2. Step 2: Convert to fraction form
    37,856.29/52,253.92 = 24,417.17/x
  3. Step 3: Cross multiply
    37,856.29x = 52,253.92 × 24,417.17
  4. Step 4: Simplify right side
    37,856.29x = 1,275,892,994.31
  5. Step 5: Solve for x
    x = 1,275,892,994.31/37,856.29
  6. Step 6: Final answer
    x = 33,703.60

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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.