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Finding the Fourth Proportional to 78,301.12, 108,024.16 and 44,760

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Solution

The fourth proportional to 78,301.12, 108,024.16 and 44,760 is: 61,750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,301.12 : 108,024.16 = 44,760 : x
  2. Step 2: Convert to fraction form
    78,301.12/108,024.16 = 44,760/x
  3. Step 3: Cross multiply
    78,301.12x = 108,024.16 × 44,760
  4. Step 4: Simplify right side
    78,301.12x = 4,835,161,401.60
  5. Step 5: Solve for x
    x = 4,835,161,401.60/78,301.12
  6. Step 6: Final answer
    x = 61,750.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.