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Finding the Fourth Proportional to 83,365.04, 115,053 and 47,563.88

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Solution

The fourth proportional to 83,365.04, 115,053 and 47,563.88 is: 65,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,365.04 : 115,053 = 47,563.88 : x
  2. Step 2: Convert to fraction form
    83,365.04/115,053 = 47,563.88/x
  3. Step 3: Cross multiply
    83,365.04x = 115,053 × 47,563.88
  4. Step 4: Simplify right side
    83,365.04x = 5,472,367,085.64
  5. Step 5: Solve for x
    x = 5,472,367,085.64/83,365.04
  6. Step 6: Final answer
    x = 65,643.43

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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.