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Finding the Fourth Proportional to 54,842.40, 75,681.54 and 30,967.38

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Solution

The fourth proportional to 54,842.40, 75,681.54 and 30,967.38 is: 42,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,842.40 : 75,681.54 = 30,967.38 : x
  2. Step 2: Convert to fraction form
    54,842.40/75,681.54 = 30,967.38/x
  3. Step 3: Cross multiply
    54,842.40x = 75,681.54 × 30,967.38
  4. Step 4: Simplify right side
    54,842.40x = 2,343,659,008.17
  5. Step 5: Solve for x
    x = 2,343,659,008.17/54,842.40
  6. Step 6: Final answer
    x = 42,734.44

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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.