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Finding the Fourth Proportional to 77,309.70, 115,962.99 and 24,719.16

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Solution

The fourth proportional to 77,309.70, 115,962.99 and 24,719.16 is: 37,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309.70 : 115,962.99 = 24,719.16 : x
  2. Step 2: Convert to fraction form
    77,309.70/115,962.99 = 24,719.16/x
  3. Step 3: Cross multiply
    77,309.70x = 115,962.99 × 24,719.16
  4. Step 4: Simplify right side
    77,309.70x = 2,866,507,703.89
  5. Step 5: Solve for x
    x = 2,866,507,703.89/77,309.70
  6. Step 6: Final answer
    x = 37,078.24

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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.