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Finding the Fourth Proportional to 56,399.70, 77,824.16 and 33,730.41

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Solution

The fourth proportional to 56,399.70, 77,824.16 and 33,730.41 is: 46,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,399.70 : 77,824.16 = 33,730.41 : x
  2. Step 2: Convert to fraction form
    56,399.70/77,824.16 = 33,730.41/x
  3. Step 3: Cross multiply
    56,399.70x = 77,824.16 × 33,730.41
  4. Step 4: Simplify right side
    56,399.70x = 2,625,041,074.38
  5. Step 5: Solve for x
    x = 2,625,041,074.38/56,399.70
  6. Step 6: Final answer
    x = 46,543.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.