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Finding the Fourth Proportional to 54,338.34, 74,987.10 and 34,208.55

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Solution

The fourth proportional to 54,338.34, 74,987.10 and 34,208.55 is: 47,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,338.34 : 74,987.10 = 34,208.55 : x
  2. Step 2: Convert to fraction form
    54,338.34/74,987.10 = 34,208.55/x
  3. Step 3: Cross multiply
    54,338.34x = 74,987.10 × 34,208.55
  4. Step 4: Simplify right side
    54,338.34x = 2,565,199,959.71
  5. Step 5: Solve for x
    x = 2,565,199,959.71/54,338.34
  6. Step 6: Final answer
    x = 47,207.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.