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Finding the Fourth Proportional to 82,857.76, 124,265.64 and 23,693.68

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Solution

The fourth proportional to 82,857.76, 124,265.64 and 23,693.68 is: 35,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,857.76 : 124,265.64 = 23,693.68 : x
  2. Step 2: Convert to fraction form
    82,857.76/124,265.64 = 23,693.68/x
  3. Step 3: Cross multiply
    82,857.76x = 124,265.64 × 23,693.68
  4. Step 4: Simplify right side
    82,857.76x = 2,944,310,309.16
  5. Step 5: Solve for x
    x = 2,944,310,309.16/82,857.76
  6. Step 6: Final answer
    x = 35,534.51

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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.