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Finding the Fourth Proportional to 83,548.50, 115,302.40 and 45,822.75

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Solution

The fourth proportional to 83,548.50, 115,302.40 and 45,822.75 is: 63,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,548.50 : 115,302.40 = 45,822.75 : x
  2. Step 2: Convert to fraction form
    83,548.50/115,302.40 = 45,822.75/x
  3. Step 3: Cross multiply
    83,548.50x = 115,302.40 × 45,822.75
  4. Step 4: Simplify right side
    83,548.50x = 5,283,472,935.04
  5. Step 5: Solve for x
    x = 5,283,472,935.04/83,548.50
  6. Step 6: Final answer
    x = 63,238.39

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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.