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Finding the Fourth Proportional to 77,201.60, 115,807.80 and 30,448.40

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Solution

The fourth proportional to 77,201.60, 115,807.80 and 30,448.40 is: 45,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,201.60 : 115,807.80 = 30,448.40 : x
  2. Step 2: Convert to fraction form
    77,201.60/115,807.80 = 30,448.40/x
  3. Step 3: Cross multiply
    77,201.60x = 115,807.80 × 30,448.40
  4. Step 4: Simplify right side
    77,201.60x = 3,526,162,217.52
  5. Step 5: Solve for x
    x = 3,526,162,217.52/77,201.60
  6. Step 6: Final answer
    x = 45,674.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.