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Finding the Fourth Proportional to 114,963.98, 172,471.91 and 35,009.10

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Solution

The fourth proportional to 114,963.98, 172,471.91 and 35,009.10 is: 52,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,963.98 : 172,471.91 = 35,009.10 : x
  2. Step 2: Convert to fraction form
    114,963.98/172,471.91 = 35,009.10/x
  3. Step 3: Cross multiply
    114,963.98x = 172,471.91 × 35,009.10
  4. Step 4: Simplify right side
    114,963.98x = 6,038,086,344.38
  5. Step 5: Solve for x
    x = 6,038,086,344.38/114,963.98
  6. Step 6: Final answer
    x = 52,521.55

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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.