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Finding the Fourth Proportional to 97,357.68, 145,909.26 and 49,932.72

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Solution

The fourth proportional to 97,357.68, 145,909.26 and 49,932.72 is: 74,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,357.68 : 145,909.26 = 49,932.72 : x
  2. Step 2: Convert to fraction form
    97,357.68/145,909.26 = 49,932.72/x
  3. Step 3: Cross multiply
    97,357.68x = 145,909.26 × 49,932.72
  4. Step 4: Simplify right side
    97,357.68x = 7,285,646,224.99
  5. Step 5: Solve for x
    x = 7,285,646,224.99/97,357.68
  6. Step 6: Final answer
    x = 74,833.81

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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.