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Finding the Fourth Proportional to 83,071.76, 114,635.12 and 47,258.48

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Solution

The fourth proportional to 83,071.76, 114,635.12 and 47,258.48 is: 65,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,071.76 : 114,635.12 = 47,258.48 : x
  2. Step 2: Convert to fraction form
    83,071.76/114,635.12 = 47,258.48/x
  3. Step 3: Cross multiply
    83,071.76x = 114,635.12 × 47,258.48
  4. Step 4: Simplify right side
    83,071.76x = 5,417,481,525.82
  5. Step 5: Solve for x
    x = 5,417,481,525.82/83,071.76
  6. Step 6: Final answer
    x = 65,214.48

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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.