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Finding the Fourth Proportional to 77,034.60, 115,325.10 and 57,400.20

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Solution

The fourth proportional to 77,034.60, 115,325.10 and 57,400.20 is: 85,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,034.60 : 115,325.10 = 57,400.20 : x
  2. Step 2: Convert to fraction form
    77,034.60/115,325.10 = 57,400.20/x
  3. Step 3: Cross multiply
    77,034.60x = 115,325.10 × 57,400.20
  4. Step 4: Simplify right side
    77,034.60x = 6,619,683,805.02
  5. Step 5: Solve for x
    x = 6,619,683,805.02/77,034.60
  6. Step 6: Final answer
    x = 85,931.31

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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.