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Finding the Fourth Proportional to 106,225.92, 159,340.80 and 32,352

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Solution

The fourth proportional to 106,225.92, 159,340.80 and 32,352 is: 48,528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,225.92 : 159,340.80 = 32,352 : x
  2. Step 2: Convert to fraction form
    106,225.92/159,340.80 = 32,352/x
  3. Step 3: Cross multiply
    106,225.92x = 159,340.80 × 32,352
  4. Step 4: Simplify right side
    106,225.92x = 5,154,993,561.60
  5. Step 5: Solve for x
    x = 5,154,993,561.60/106,225.92
  6. Step 6: Final answer
    x = 48,528.58

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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.