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Finding the Fourth Proportional to 55,932, 83,870.64 and 26,324.88

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Solution

The fourth proportional to 55,932, 83,870.64 and 26,324.88 is: 39,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,932 : 83,870.64 = 26,324.88 : x
  2. Step 2: Convert to fraction form
    55,932/83,870.64 = 26,324.88/x
  3. Step 3: Cross multiply
    55,932x = 83,870.64 × 26,324.88
  4. Step 4: Simplify right side
    55,932x = 2,207,884,533.52
  5. Step 5: Solve for x
    x = 2,207,884,533.52/55,932
  6. Step 6: Final answer
    x = 39,474.44

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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.