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Finding the Fourth Proportional to 77,813.85, 107,381.70 and 43,822.20

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Solution

The fourth proportional to 77,813.85, 107,381.70 and 43,822.20 is: 60,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,813.85 : 107,381.70 = 43,822.20 : x
  2. Step 2: Convert to fraction form
    77,813.85/107,381.70 = 43,822.20/x
  3. Step 3: Cross multiply
    77,813.85x = 107,381.70 × 43,822.20
  4. Step 4: Simplify right side
    77,813.85x = 4,705,702,333.74
  5. Step 5: Solve for x
    x = 4,705,702,333.74/77,813.85
  6. Step 6: Final answer
    x = 60,473.84

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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.