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Finding the Fourth Proportional to 81,772.64, 112,846.56 and 45,964.16

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Solution

The fourth proportional to 81,772.64, 112,846.56 and 45,964.16 is: 63,430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,772.64 : 112,846.56 = 45,964.16 : x
  2. Step 2: Convert to fraction form
    81,772.64/112,846.56 = 45,964.16/x
  3. Step 3: Cross multiply
    81,772.64x = 112,846.56 × 45,964.16
  4. Step 4: Simplify right side
    81,772.64x = 5,186,897,339.29
  5. Step 5: Solve for x
    x = 5,186,897,339.29/81,772.64
  6. Step 6: Final answer
    x = 63,430.72

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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.