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Finding the Fourth Proportional to 59,638.40, 82,304.16 and 35,766.08

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Solution

The fourth proportional to 59,638.40, 82,304.16 and 35,766.08 is: 49,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,638.40 : 82,304.16 = 35,766.08 : x
  2. Step 2: Convert to fraction form
    59,638.40/82,304.16 = 35,766.08/x
  3. Step 3: Cross multiply
    59,638.40x = 82,304.16 × 35,766.08
  4. Step 4: Simplify right side
    59,638.40x = 2,943,697,170.89
  5. Step 5: Solve for x
    x = 2,943,697,170.89/59,638.40
  6. Step 6: Final answer
    x = 49,359.09

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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.