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Finding the Fourth Proportional to 102,970.80, 154,456.20 and 32,857.20

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Solution

The fourth proportional to 102,970.80, 154,456.20 and 32,857.20 is: 49,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,970.80 : 154,456.20 = 32,857.20 : x
  2. Step 2: Convert to fraction form
    102,970.80/154,456.20 = 32,857.20/x
  3. Step 3: Cross multiply
    102,970.80x = 154,456.20 × 32,857.20
  4. Step 4: Simplify right side
    102,970.80x = 5,074,998,254.64
  5. Step 5: Solve for x
    x = 5,074,998,254.64/102,970.80
  6. Step 6: Final answer
    x = 49,285.80

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1.5x scale

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.