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Finding the Fourth Proportional to 83,721.42, 125,597.66 and 27,564.93

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Solution

The fourth proportional to 83,721.42, 125,597.66 and 27,564.93 is: 41,352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,721.42 : 125,597.66 = 27,564.93 : x
  2. Step 2: Convert to fraction form
    83,721.42/125,597.66 = 27,564.93/x
  3. Step 3: Cross multiply
    83,721.42x = 125,597.66 × 27,564.93
  4. Step 4: Simplify right side
    83,721.42x = 3,462,090,568.24
  5. Step 5: Solve for x
    x = 3,462,090,568.24/83,721.42
  6. Step 6: Final answer
    x = 41,352.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.