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Finding the Fourth Proportional to 78,218.82, 108,031.07 and 53,024.58

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Solution

The fourth proportional to 78,218.82, 108,031.07 and 53,024.58 is: 73,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,218.82 : 108,031.07 = 53,024.58 : x
  2. Step 2: Convert to fraction form
    78,218.82/108,031.07 = 53,024.58/x
  3. Step 3: Cross multiply
    78,218.82x = 108,031.07 × 53,024.58
  4. Step 4: Simplify right side
    78,218.82x = 5,728,302,113.70
  5. Step 5: Solve for x
    x = 5,728,302,113.70/78,218.82
  6. Step 6: Final answer
    x = 73,234.32

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