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Finding the Fourth Proportional to 57,224.64, 85,833.20 and 19,776

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Solution

The fourth proportional to 57,224.64, 85,833.20 and 19,776 is: 29,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,224.64 : 85,833.20 = 19,776 : x
  2. Step 2: Convert to fraction form
    57,224.64/85,833.20 = 19,776/x
  3. Step 3: Cross multiply
    57,224.64x = 85,833.20 × 19,776
  4. Step 4: Simplify right side
    57,224.64x = 1,697,437,363.20
  5. Step 5: Solve for x
    x = 1,697,437,363.20/57,224.64
  6. Step 6: Final answer
    x = 29,662.70

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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.