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Finding the Fourth Proportional to 73,746, 101,771.64 and 40,214.16

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Solution

The fourth proportional to 73,746, 101,771.64 and 40,214.16 is: 55,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,746 : 101,771.64 = 40,214.16 : x
  2. Step 2: Convert to fraction form
    73,746/101,771.64 = 40,214.16/x
  3. Step 3: Cross multiply
    73,746x = 101,771.64 × 40,214.16
  4. Step 4: Simplify right side
    73,746x = 4,092,661,014.42
  5. Step 5: Solve for x
    x = 4,092,661,014.42/73,746
  6. Step 6: Final answer
    x = 55,496.72

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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.