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Finding the Fourth Proportional to 26,970.60, 40,448.70 and 8,250.60

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Solution

The fourth proportional to 26,970.60, 40,448.70 and 8,250.60 is: 12,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,970.60 : 40,448.70 = 8,250.60 : x
  2. Step 2: Convert to fraction form
    26,970.60/40,448.70 = 8,250.60/x
  3. Step 3: Cross multiply
    26,970.60x = 40,448.70 × 8,250.60
  4. Step 4: Simplify right side
    26,970.60x = 333,726,044.22
  5. Step 5: Solve for x
    x = 333,726,044.22/26,970.60
  6. Step 6: Final answer
    x = 12,373.70

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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.