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Finding the Fourth Proportional to 85,109.60, 127,664.40 and 22,780.10

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Solution

The fourth proportional to 85,109.60, 127,664.40 and 22,780.10 is: 34,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,109.60 : 127,664.40 = 22,780.10 : x
  2. Step 2: Convert to fraction form
    85,109.60/127,664.40 = 22,780.10/x
  3. Step 3: Cross multiply
    85,109.60x = 127,664.40 × 22,780.10
  4. Step 4: Simplify right side
    85,109.60x = 2,908,207,798.44
  5. Step 5: Solve for x
    x = 2,908,207,798.44/85,109.60
  6. Step 6: Final answer
    x = 34,170.15

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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.