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Finding the Fourth Proportional to 83,753.28, 115,579.62 and 46,027.50

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Solution

The fourth proportional to 83,753.28, 115,579.62 and 46,027.50 is: 63,518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,753.28 : 115,579.62 = 46,027.50 : x
  2. Step 2: Convert to fraction form
    83,753.28/115,579.62 = 46,027.50/x
  3. Step 3: Cross multiply
    83,753.28x = 115,579.62 × 46,027.50
  4. Step 4: Simplify right side
    83,753.28x = 5,319,840,959.55
  5. Step 5: Solve for x
    x = 5,319,840,959.55/83,753.28
  6. Step 6: Final answer
    x = 63,518.00

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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.