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Finding the Fourth Proportional to 55,931.76, 77,174.64 and 32,065.92

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Solution

The fourth proportional to 55,931.76, 77,174.64 and 32,065.92 is: 44,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,931.76 : 77,174.64 = 32,065.92 : x
  2. Step 2: Convert to fraction form
    55,931.76/77,174.64 = 32,065.92/x
  3. Step 3: Cross multiply
    55,931.76x = 77,174.64 × 32,065.92
  4. Step 4: Simplify right side
    55,931.76x = 2,474,675,832.27
  5. Step 5: Solve for x
    x = 2,474,675,832.27/55,931.76
  6. Step 6: Final answer
    x = 44,244.56

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Why These Related Problems?

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