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Finding the Fourth Proportional to 73,684.86, 101,681.91 and 41,861.58

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Solution

The fourth proportional to 73,684.86, 101,681.91 and 41,861.58 is: 57,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,684.86 : 101,681.91 = 41,861.58 : x
  2. Step 2: Convert to fraction form
    73,684.86/101,681.91 = 41,861.58/x
  3. Step 3: Cross multiply
    73,684.86x = 101,681.91 × 41,861.58
  4. Step 4: Simplify right side
    73,684.86x = 4,256,565,410.02
  5. Step 5: Solve for x
    x = 4,256,565,410.02/73,684.86
  6. Step 6: Final answer
    x = 57,767.16

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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.