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Finding the Fourth Proportional to 99,759.96, 149,606.74 and 32,275.97

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Solution

The fourth proportional to 99,759.96, 149,606.74 and 32,275.97 is: 48,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,759.96 : 149,606.74 = 32,275.97 : x
  2. Step 2: Convert to fraction form
    99,759.96/149,606.74 = 32,275.97/x
  3. Step 3: Cross multiply
    99,759.96x = 149,606.74 × 32,275.97
  4. Step 4: Simplify right side
    99,759.96x = 4,828,701,823.31
  5. Step 5: Solve for x
    x = 4,828,701,823.31/99,759.96
  6. Step 6: Final answer
    x = 48,403.21

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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.