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Finding the Fourth Proportional to 77,073.12, 106,365.84 and 45,230.40

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Solution

The fourth proportional to 77,073.12, 106,365.84 and 45,230.40 is: 62,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,073.12 : 106,365.84 = 45,230.40 : x
  2. Step 2: Convert to fraction form
    77,073.12/106,365.84 = 45,230.40/x
  3. Step 3: Cross multiply
    77,073.12x = 106,365.84 × 45,230.40
  4. Step 4: Simplify right side
    77,073.12x = 4,810,969,489.54
  5. Step 5: Solve for x
    x = 4,810,969,489.54/77,073.12
  6. Step 6: Final answer
    x = 62,420.85

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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.