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Finding the Fourth Proportional to 82,947.60, 124,437.60 and 33,019.20

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Solution

The fourth proportional to 82,947.60, 124,437.60 and 33,019.20 is: 49,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,947.60 : 124,437.60 = 33,019.20 : x
  2. Step 2: Convert to fraction form
    82,947.60/124,437.60 = 33,019.20/x
  3. Step 3: Cross multiply
    82,947.60x = 124,437.60 × 33,019.20
  4. Step 4: Simplify right side
    82,947.60x = 4,108,830,001.92
  5. Step 5: Solve for x
    x = 4,108,830,001.92/82,947.60
  6. Step 6: Final answer
    x = 49,535.25

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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.