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Finding the Fourth Proportional to 37,666.96, 51,994.38 and 32,340.40

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Solution

The fourth proportional to 37,666.96, 51,994.38 and 32,340.40 is: 44,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,666.96 : 51,994.38 = 32,340.40 : x
  2. Step 2: Convert to fraction form
    37,666.96/51,994.38 = 32,340.40/x
  3. Step 3: Cross multiply
    37,666.96x = 51,994.38 × 32,340.40
  4. Step 4: Simplify right side
    37,666.96x = 1,681,519,046.95
  5. Step 5: Solve for x
    x = 1,681,519,046.95/37,666.96
  6. Step 6: Final answer
    x = 44,641.75

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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.