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Finding the Fourth Proportional to 39,546.80, 59,233.80 and 30,712.40

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Solution

The fourth proportional to 39,546.80, 59,233.80 and 30,712.40 is: 46,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,546.80 : 59,233.80 = 30,712.40 : x
  2. Step 2: Convert to fraction form
    39,546.80/59,233.80 = 30,712.40/x
  3. Step 3: Cross multiply
    39,546.80x = 59,233.80 × 30,712.40
  4. Step 4: Simplify right side
    39,546.80x = 1,819,212,159.12
  5. Step 5: Solve for x
    x = 1,819,212,159.12/39,546.80
  6. Step 6: Final answer
    x = 46,001.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.