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Finding the Fourth Proportional to 77,214.25, 115,840.82 and 21,810.25

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Solution

The fourth proportional to 77,214.25, 115,840.82 and 21,810.25 is: 32,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,214.25 : 115,840.82 = 21,810.25 : x
  2. Step 2: Convert to fraction form
    77,214.25/115,840.82 = 21,810.25/x
  3. Step 3: Cross multiply
    77,214.25x = 115,840.82 × 21,810.25
  4. Step 4: Simplify right side
    77,214.25x = 2,526,517,244.41
  5. Step 5: Solve for x
    x = 2,526,517,244.41/77,214.25
  6. Step 6: Final answer
    x = 32,720.87

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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.