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Finding the Fourth Proportional to 96,106.70, 144,159.70 and 25,986

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Solution

The fourth proportional to 96,106.70, 144,159.70 and 25,986 is: 38,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,106.70 : 144,159.70 = 25,986 : x
  2. Step 2: Convert to fraction form
    96,106.70/144,159.70 = 25,986/x
  3. Step 3: Cross multiply
    96,106.70x = 144,159.70 × 25,986
  4. Step 4: Simplify right side
    96,106.70x = 3,746,133,964.20
  5. Step 5: Solve for x
    x = 3,746,133,964.20/96,106.70
  6. Step 6: Final answer
    x = 38,978.91

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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.