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Finding the Fourth Proportional to 82,986.48, 114,519.96 and 45,258.48

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Solution

The fourth proportional to 82,986.48, 114,519.96 and 45,258.48 is: 62,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,986.48 : 114,519.96 = 45,258.48 : x
  2. Step 2: Convert to fraction form
    82,986.48/114,519.96 = 45,258.48/x
  3. Step 3: Cross multiply
    82,986.48x = 114,519.96 × 45,258.48
  4. Step 4: Simplify right side
    82,986.48x = 5,182,999,319.26
  5. Step 5: Solve for x
    x = 5,182,999,319.26/82,986.48
  6. Step 6: Final answer
    x = 62,455.95

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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.