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Finding the Fourth Proportional to 114,600, 171,904.32 and 35,713.92

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Solution

The fourth proportional to 114,600, 171,904.32 and 35,713.92 is: 53,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,600 : 171,904.32 = 35,713.92 : x
  2. Step 2: Convert to fraction form
    114,600/171,904.32 = 35,713.92/x
  3. Step 3: Cross multiply
    114,600x = 171,904.32 × 35,713.92
  4. Step 4: Simplify right side
    114,600x = 6,139,377,132.13
  5. Step 5: Solve for x
    x = 6,139,377,132.13/114,600
  6. Step 6: Final answer
    x = 53,572.23

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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.