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Finding the Fourth Proportional to 55,689.80, 83,497.80 and 30,741.80

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Solution

The fourth proportional to 55,689.80, 83,497.80 and 30,741.80 is: 46,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,689.80 : 83,497.80 = 30,741.80 : x
  2. Step 2: Convert to fraction form
    55,689.80/83,497.80 = 30,741.80/x
  3. Step 3: Cross multiply
    55,689.80x = 83,497.80 × 30,741.80
  4. Step 4: Simplify right side
    55,689.80x = 2,566,872,668.04
  5. Step 5: Solve for x
    x = 2,566,872,668.04/55,689.80
  6. Step 6: Final answer
    x = 46,092.33

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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.