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Finding the Fourth Proportional to 96,102.65, 144,167.76 and 29,548.37

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Solution

The fourth proportional to 96,102.65, 144,167.76 and 29,548.37 is: 44,326.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,102.65 : 144,167.76 = 29,548.37 : x
  2. Step 2: Convert to fraction form
    96,102.65/144,167.76 = 29,548.37/x
  3. Step 3: Cross multiply
    96,102.65x = 144,167.76 × 29,548.37
  4. Step 4: Simplify right side
    96,102.65x = 4,259,922,314.55
  5. Step 5: Solve for x
    x = 4,259,922,314.55/96,102.65
  6. Step 6: Final answer
    x = 44,326.79

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1.5x scale

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.