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Finding the Fourth Proportional to 75,711.65, 113,592.74 and 33,585.93

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Solution

The fourth proportional to 75,711.65, 113,592.74 and 33,585.93 is: 50,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,711.65 : 113,592.74 = 33,585.93 : x
  2. Step 2: Convert to fraction form
    75,711.65/113,592.74 = 33,585.93/x
  3. Step 3: Cross multiply
    75,711.65x = 113,592.74 × 33,585.93
  4. Step 4: Simplify right side
    75,711.65x = 3,815,117,646.22
  5. Step 5: Solve for x
    x = 3,815,117,646.22/75,711.65
  6. Step 6: Final answer
    x = 50,390.10

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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.