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Finding the Fourth Proportional to 75,378.79, 112,998.78 and 32,657.37

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Solution

The fourth proportional to 75,378.79, 112,998.78 and 32,657.37 is: 48,955.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,378.79 : 112,998.78 = 32,657.37 : x
  2. Step 2: Convert to fraction form
    75,378.79/112,998.78 = 32,657.37/x
  3. Step 3: Cross multiply
    75,378.79x = 112,998.78 × 32,657.37
  4. Step 4: Simplify right side
    75,378.79x = 3,690,242,862.07
  5. Step 5: Solve for x
    x = 3,690,242,862.07/75,378.79
  6. Step 6: Final answer
    x = 48,955.98

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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.