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Finding the Fourth Proportional to 56,000.19, 77,353.89 and 41,828.43

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Solution

The fourth proportional to 56,000.19, 77,353.89 and 41,828.43 is: 57,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,000.19 : 77,353.89 = 41,828.43 : x
  2. Step 2: Convert to fraction form
    56,000.19/77,353.89 = 41,828.43/x
  3. Step 3: Cross multiply
    56,000.19x = 77,353.89 × 41,828.43
  4. Step 4: Simplify right side
    56,000.19x = 3,235,591,773.09
  5. Step 5: Solve for x
    x = 3,235,591,773.09/56,000.19
  6. Step 6: Final answer
    x = 57,778.23

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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.