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Finding the Fourth Proportional to 77,187.60, 115,752.60 and 30,430.80

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Solution

The fourth proportional to 77,187.60, 115,752.60 and 30,430.80 is: 45,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,187.60 : 115,752.60 = 30,430.80 : x
  2. Step 2: Convert to fraction form
    77,187.60/115,752.60 = 30,430.80/x
  3. Step 3: Cross multiply
    77,187.60x = 115,752.60 × 30,430.80
  4. Step 4: Simplify right side
    77,187.60x = 3,522,444,220.08
  5. Step 5: Solve for x
    x = 3,522,444,220.08/77,187.60
  6. Step 6: Final answer
    x = 45,634.85

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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.