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Finding the Fourth Proportional to 86,842.70, 130,276.20 and 36,922.40

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Solution

The fourth proportional to 86,842.70, 130,276.20 and 36,922.40 is: 55,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,842.70 : 130,276.20 = 36,922.40 : x
  2. Step 2: Convert to fraction form
    86,842.70/130,276.20 = 36,922.40/x
  3. Step 3: Cross multiply
    86,842.70x = 130,276.20 × 36,922.40
  4. Step 4: Simplify right side
    86,842.70x = 4,810,109,966.88
  5. Step 5: Solve for x
    x = 4,810,109,966.88/86,842.70
  6. Step 6: Final answer
    x = 55,388.77

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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.