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Finding the Fourth Proportional to 77,052.60, 115,601.04 and 32,065.20

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Solution

The fourth proportional to 77,052.60, 115,601.04 and 32,065.20 is: 48,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,052.60 : 115,601.04 = 32,065.20 : x
  2. Step 2: Convert to fraction form
    77,052.60/115,601.04 = 32,065.20/x
  3. Step 3: Cross multiply
    77,052.60x = 115,601.04 × 32,065.20
  4. Step 4: Simplify right side
    77,052.60x = 3,706,770,467.81
  5. Step 5: Solve for x
    x = 3,706,770,467.81/77,052.60
  6. Step 6: Final answer
    x = 48,107.01

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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.