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Finding the Fourth Proportional to 77,287.40, 115,931.10 and 37,850.60

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Solution

The fourth proportional to 77,287.40, 115,931.10 and 37,850.60 is: 56,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,287.40 : 115,931.10 = 37,850.60 : x
  2. Step 2: Convert to fraction form
    77,287.40/115,931.10 = 37,850.60/x
  3. Step 3: Cross multiply
    77,287.40x = 115,931.10 × 37,850.60
  4. Step 4: Simplify right side
    77,287.40x = 4,388,061,693.66
  5. Step 5: Solve for x
    x = 4,388,061,693.66/77,287.40
  6. Step 6: Final answer
    x = 56,775.90

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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.