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Finding the Fourth Proportional to 78,024.12, 107,646.53 and 44,028.42

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Solution

The fourth proportional to 78,024.12, 107,646.53 and 44,028.42 is: 60,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,024.12 : 107,646.53 = 44,028.42 : x
  2. Step 2: Convert to fraction form
    78,024.12/107,646.53 = 44,028.42/x
  3. Step 3: Cross multiply
    78,024.12x = 107,646.53 × 44,028.42
  4. Step 4: Simplify right side
    78,024.12x = 4,739,506,634.38
  5. Step 5: Solve for x
    x = 4,739,506,634.38/78,024.12
  6. Step 6: Final answer
    x = 60,744.12

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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.