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Finding the Fourth Proportional to 83,477.48, 115,181.90 and 49,470.98

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Solution

The fourth proportional to 83,477.48, 115,181.90 and 49,470.98 is: 68,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,477.48 : 115,181.90 = 49,470.98 : x
  2. Step 2: Convert to fraction form
    83,477.48/115,181.90 = 49,470.98/x
  3. Step 3: Cross multiply
    83,477.48x = 115,181.90 × 49,470.98
  4. Step 4: Simplify right side
    83,477.48x = 5,698,161,471.26
  5. Step 5: Solve for x
    x = 5,698,161,471.26/83,477.48
  6. Step 6: Final answer
    x = 68,259.86

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1.5x scale

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.