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Finding the Fourth Proportional to 82,907.80, 124,288.80 and 49,641.10

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Solution

The fourth proportional to 82,907.80, 124,288.80 and 49,641.10 is: 74,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,907.80 : 124,288.80 = 49,641.10 : x
  2. Step 2: Convert to fraction form
    82,907.80/124,288.80 = 49,641.10/x
  3. Step 3: Cross multiply
    82,907.80x = 124,288.80 × 49,641.10
  4. Step 4: Simplify right side
    82,907.80x = 6,169,832,749.68
  5. Step 5: Solve for x
    x = 6,169,832,749.68/82,907.80
  6. Step 6: Final answer
    x = 74,418.00

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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.