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Finding the Fourth Proportional to 57,564, 86,339.52 and 18,113.76

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Solution

The fourth proportional to 57,564, 86,339.52 and 18,113.76 is: 27,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,564 : 86,339.52 = 18,113.76 : x
  2. Step 2: Convert to fraction form
    57,564/86,339.52 = 18,113.76/x
  3. Step 3: Cross multiply
    57,564x = 86,339.52 × 18,113.76
  4. Step 4: Simplify right side
    57,564x = 1,563,933,343.80
  5. Step 5: Solve for x
    x = 1,563,933,343.80/57,564
  6. Step 6: Final answer
    x = 27,168.60

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