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Finding the Fourth Proportional to 73,749.84, 110,603.17 and 42,154.02

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Solution

The fourth proportional to 73,749.84, 110,603.17 and 42,154.02 is: 63,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,749.84 : 110,603.17 = 42,154.02 : x
  2. Step 2: Convert to fraction form
    73,749.84/110,603.17 = 42,154.02/x
  3. Step 3: Cross multiply
    73,749.84x = 110,603.17 × 42,154.02
  4. Step 4: Simplify right side
    73,749.84x = 4,662,368,292.94
  5. Step 5: Solve for x
    x = 4,662,368,292.94/73,749.84
  6. Step 6: Final answer
    x = 63,218.69

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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.