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Finding the Fourth Proportional to 114,400.93, 171,610.16 and 38,499.84

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Solution

The fourth proportional to 114,400.93, 171,610.16 and 38,499.84 is: 57,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,400.93 : 171,610.16 = 38,499.84 : x
  2. Step 2: Convert to fraction form
    114,400.93/171,610.16 = 38,499.84/x
  3. Step 3: Cross multiply
    114,400.93x = 171,610.16 × 38,499.84
  4. Step 4: Simplify right side
    114,400.93x = 6,606,962,844.32
  5. Step 5: Solve for x
    x = 6,606,962,844.32/114,400.93
  6. Step 6: Final answer
    x = 57,752.70

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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.