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Finding the Fourth Proportional to 83,050.90, 124,539.90 and 33,114.40

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Solution

The fourth proportional to 83,050.90, 124,539.90 and 33,114.40 is: 49,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,050.90 : 124,539.90 = 33,114.40 : x
  2. Step 2: Convert to fraction form
    83,050.90/124,539.90 = 33,114.40/x
  3. Step 3: Cross multiply
    83,050.90x = 124,539.90 × 33,114.40
  4. Step 4: Simplify right side
    83,050.90x = 4,124,064,064.56
  5. Step 5: Solve for x
    x = 4,124,064,064.56/83,050.90
  6. Step 6: Final answer
    x = 49,657.07

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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.