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Finding the Fourth Proportional to 73,509.66, 101,408.56 and 49,644.63

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Solution

The fourth proportional to 73,509.66, 101,408.56 and 49,644.63 is: 68,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,509.66 : 101,408.56 = 49,644.63 : x
  2. Step 2: Convert to fraction form
    73,509.66/101,408.56 = 49,644.63/x
  3. Step 3: Cross multiply
    73,509.66x = 101,408.56 × 49,644.63
  4. Step 4: Simplify right side
    73,509.66x = 5,034,390,315.92
  5. Step 5: Solve for x
    x = 5,034,390,315.92/73,509.66
  6. Step 6: Final answer
    x = 68,486.11

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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.