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Finding the Fourth Proportional to 59,708, 82,391.64 and 32,851.64

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Solution

The fourth proportional to 59,708, 82,391.64 and 32,851.64 is: 45,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,708 : 82,391.64 = 32,851.64 : x
  2. Step 2: Convert to fraction form
    59,708/82,391.64 = 32,851.64/x
  3. Step 3: Cross multiply
    59,708x = 82,391.64 × 32,851.64
  4. Step 4: Simplify right side
    59,708x = 2,706,700,496.29
  5. Step 5: Solve for x
    x = 2,706,700,496.29/59,708
  6. Step 6: Final answer
    x = 45,332.29

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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.