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Finding the Fourth Proportional to 114,937.74, 172,369.40 and 41,897.21

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Solution

The fourth proportional to 114,937.74, 172,369.40 and 41,897.21 is: 62,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,937.74 : 172,369.40 = 41,897.21 : x
  2. Step 2: Convert to fraction form
    114,937.74/172,369.40 = 41,897.21/x
  3. Step 3: Cross multiply
    114,937.74x = 172,369.40 × 41,897.21
  4. Step 4: Simplify right side
    114,937.74x = 7,221,795,878.04
  5. Step 5: Solve for x
    x = 7,221,795,878.04/114,937.74
  6. Step 6: Final answer
    x = 62,832.24

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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.