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Finding the Fourth Proportional to 57,296.61, 85,944.90 and 17,856.90

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Solution

The fourth proportional to 57,296.61, 85,944.90 and 17,856.90 is: 26,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,296.61 : 85,944.90 = 17,856.90 : x
  2. Step 2: Convert to fraction form
    57,296.61/85,944.90 = 17,856.90/x
  3. Step 3: Cross multiply
    57,296.61x = 85,944.90 × 17,856.90
  4. Step 4: Simplify right side
    57,296.61x = 1,534,709,484.81
  5. Step 5: Solve for x
    x = 1,534,709,484.81/57,296.61
  6. Step 6: Final answer
    x = 26,785.35

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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.