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Finding the Fourth Proportional to 77,012.16, 115,518.16 and 28,989.73

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Solution

The fourth proportional to 77,012.16, 115,518.16 and 28,989.73 is: 43,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,012.16 : 115,518.16 = 28,989.73 : x
  2. Step 2: Convert to fraction form
    77,012.16/115,518.16 = 28,989.73/x
  3. Step 3: Cross multiply
    77,012.16x = 115,518.16 × 28,989.73
  4. Step 4: Simplify right side
    77,012.16x = 3,348,840,268.50
  5. Step 5: Solve for x
    x = 3,348,840,268.50/77,012.16
  6. Step 6: Final answer
    x = 43,484.56

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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.