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Finding the Fourth Proportional to 97,904.99, 146,940.71 and 38,781.87

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Solution

The fourth proportional to 97,904.99, 146,940.71 and 38,781.87 is: 58,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,904.99 : 146,940.71 = 38,781.87 : x
  2. Step 2: Convert to fraction form
    97,904.99/146,940.71 = 38,781.87/x
  3. Step 3: Cross multiply
    97,904.99x = 146,940.71 × 38,781.87
  4. Step 4: Simplify right side
    97,904.99x = 5,698,635,319.02
  5. Step 5: Solve for x
    x = 5,698,635,319.02/97,904.99
  6. Step 6: Final answer
    x = 58,205.77

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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.