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Finding the Fourth Proportional to 54,422.68, 75,084 and 35,570.68

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Solution

The fourth proportional to 54,422.68, 75,084 and 35,570.68 is: 49,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,422.68 : 75,084 = 35,570.68 : x
  2. Step 2: Convert to fraction form
    54,422.68/75,084 = 35,570.68/x
  3. Step 3: Cross multiply
    54,422.68x = 75,084 × 35,570.68
  4. Step 4: Simplify right side
    54,422.68x = 2,670,788,937.12
  5. Step 5: Solve for x
    x = 2,670,788,937.12/54,422.68
  6. Step 6: Final answer
    x = 49,074.92

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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.