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Finding the Fourth Proportional to 54,987.04, 75,875.70 and 30,789.38

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Solution

The fourth proportional to 54,987.04, 75,875.70 and 30,789.38 is: 42,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,987.04 : 75,875.70 = 30,789.38 : x
  2. Step 2: Convert to fraction form
    54,987.04/75,875.70 = 30,789.38/x
  3. Step 3: Cross multiply
    54,987.04x = 75,875.70 × 30,789.38
  4. Step 4: Simplify right side
    54,987.04x = 2,336,165,760.07
  5. Step 5: Solve for x
    x = 2,336,165,760.07/54,987.04
  6. Step 6: Final answer
    x = 42,485.75

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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.