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Finding the Fourth Proportional to 55,117.80, 76,062.26 and 30,588.38

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Solution

The fourth proportional to 55,117.80, 76,062.26 and 30,588.38 is: 42,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,117.80 : 76,062.26 = 30,588.38 : x
  2. Step 2: Convert to fraction form
    55,117.80/76,062.26 = 30,588.38/x
  3. Step 3: Cross multiply
    55,117.80x = 76,062.26 × 30,588.38
  4. Step 4: Simplify right side
    55,117.80x = 2,326,620,779.29
  5. Step 5: Solve for x
    x = 2,326,620,779.29/55,117.80
  6. Step 6: Final answer
    x = 42,211.79

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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.