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Finding the Fourth Proportional to 83,055, 124,582.50 and 27,651

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Solution

The fourth proportional to 83,055, 124,582.50 and 27,651 is: 41,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,055 : 124,582.50 = 27,651 : x
  2. Step 2: Convert to fraction form
    83,055/124,582.50 = 27,651/x
  3. Step 3: Cross multiply
    83,055x = 124,582.50 × 27,651
  4. Step 4: Simplify right side
    83,055x = 3,444,830,707.50
  5. Step 5: Solve for x
    x = 3,444,830,707.50/83,055
  6. Step 6: Final answer
    x = 41,476.50

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Why These Related Problems?

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