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Finding the Fourth Proportional to 76,707.61, 115,058.67 and 26,787.52

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Solution

The fourth proportional to 76,707.61, 115,058.67 and 26,787.52 is: 40,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,707.61 : 115,058.67 = 26,787.52 : x
  2. Step 2: Convert to fraction form
    76,707.61/115,058.67 = 26,787.52/x
  3. Step 3: Cross multiply
    76,707.61x = 115,058.67 × 26,787.52
  4. Step 4: Simplify right side
    76,707.61x = 3,082,136,423.80
  5. Step 5: Solve for x
    x = 3,082,136,423.80/76,707.61
  6. Step 6: Final answer
    x = 40,180.32

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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.