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Finding the Fourth Proportional to 82,030.80, 123,046.20 and 46,601.40

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Solution

The fourth proportional to 82,030.80, 123,046.20 and 46,601.40 is: 69,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,030.80 : 123,046.20 = 46,601.40 : x
  2. Step 2: Convert to fraction form
    82,030.80/123,046.20 = 46,601.40/x
  3. Step 3: Cross multiply
    82,030.80x = 123,046.20 × 46,601.40
  4. Step 4: Simplify right side
    82,030.80x = 5,734,125,184.68
  5. Step 5: Solve for x
    x = 5,734,125,184.68/82,030.80
  6. Step 6: Final answer
    x = 69,902.10

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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.