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Finding the Fourth Proportional to 96,130.84, 144,191.88 and 32,956.57

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Solution

The fourth proportional to 96,130.84, 144,191.88 and 32,956.57 is: 49,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,130.84 : 144,191.88 = 32,956.57 : x
  2. Step 2: Convert to fraction form
    96,130.84/144,191.88 = 32,956.57/x
  3. Step 3: Cross multiply
    96,130.84x = 144,191.88 × 32,956.57
  4. Step 4: Simplify right side
    96,130.84x = 4,752,069,786.65
  5. Step 5: Solve for x
    x = 4,752,069,786.65/96,130.84
  6. Step 6: Final answer
    x = 49,433.35

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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.