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Finding the Fourth Proportional to 77,006.56, 115,513.92 and 24,420.16

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Solution

The fourth proportional to 77,006.56, 115,513.92 and 24,420.16 is: 36,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,006.56 : 115,513.92 = 24,420.16 : x
  2. Step 2: Convert to fraction form
    77,006.56/115,513.92 = 24,420.16/x
  3. Step 3: Cross multiply
    77,006.56x = 115,513.92 × 24,420.16
  4. Step 4: Simplify right side
    77,006.56x = 2,820,868,408.63
  5. Step 5: Solve for x
    x = 2,820,868,408.63/77,006.56
  6. Step 6: Final answer
    x = 36,631.53

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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.