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Finding the Fourth Proportional to 70,777.25, 106,012.75 and 33,281.13

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Solution

The fourth proportional to 70,777.25, 106,012.75 and 33,281.13 is: 49,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,777.25 : 106,012.75 = 33,281.13 : x
  2. Step 2: Convert to fraction form
    70,777.25/106,012.75 = 33,281.13/x
  3. Step 3: Cross multiply
    70,777.25x = 106,012.75 × 33,281.13
  4. Step 4: Simplify right side
    70,777.25x = 3,528,224,114.41
  5. Step 5: Solve for x
    x = 3,528,224,114.41/70,777.25
  6. Step 6: Final answer
    x = 49,849.69

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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.