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Finding the Fourth Proportional to 82,527.19, 113,957.28 and 52,366.03

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Solution

The fourth proportional to 82,527.19, 113,957.28 and 52,366.03 is: 72,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,527.19 : 113,957.28 = 52,366.03 : x
  2. Step 2: Convert to fraction form
    82,527.19/113,957.28 = 52,366.03/x
  3. Step 3: Cross multiply
    82,527.19x = 113,957.28 × 52,366.03
  4. Step 4: Simplify right side
    82,527.19x = 5,967,490,058.31
  5. Step 5: Solve for x
    x = 5,967,490,058.31/82,527.19
  6. Step 6: Final answer
    x = 72,309.38

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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.