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Finding the Fourth Proportional to 55,036.64, 75,952.14 and 31,167.02

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Solution

The fourth proportional to 55,036.64, 75,952.14 and 31,167.02 is: 43,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,036.64 : 75,952.14 = 31,167.02 : x
  2. Step 2: Convert to fraction form
    55,036.64/75,952.14 = 31,167.02/x
  3. Step 3: Cross multiply
    55,036.64x = 75,952.14 × 31,167.02
  4. Step 4: Simplify right side
    55,036.64x = 2,367,201,866.42
  5. Step 5: Solve for x
    x = 2,367,201,866.42/55,036.64
  6. Step 6: Final answer
    x = 43,011.38

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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.