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Finding the Fourth Proportional to 102,107.71, 153,057.07 and 35,493.18

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Solution

The fourth proportional to 102,107.71, 153,057.07 and 35,493.18 is: 53,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,107.71 : 153,057.07 = 35,493.18 : x
  2. Step 2: Convert to fraction form
    102,107.71/153,057.07 = 35,493.18/x
  3. Step 3: Cross multiply
    102,107.71x = 153,057.07 × 35,493.18
  4. Step 4: Simplify right side
    102,107.71x = 5,432,482,135.78
  5. Step 5: Solve for x
    x = 5,432,482,135.78/102,107.71
  6. Step 6: Final answer
    x = 53,203.45

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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.