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Finding the Fourth Proportional to 56,405.84, 77,833.71 and 32,540.20

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Solution

The fourth proportional to 56,405.84, 77,833.71 and 32,540.20 is: 44,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,405.84 : 77,833.71 = 32,540.20 : x
  2. Step 2: Convert to fraction form
    56,405.84/77,833.71 = 32,540.20/x
  3. Step 3: Cross multiply
    56,405.84x = 77,833.71 × 32,540.20
  4. Step 4: Simplify right side
    56,405.84x = 2,532,724,295.56
  5. Step 5: Solve for x
    x = 2,532,724,295.56/56,405.84
  6. Step 6: Final answer
    x = 44,901.81

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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.