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Finding the Fourth Proportional to 114,031.98, 171,047.97 and 35,146.26

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Solution

The fourth proportional to 114,031.98, 171,047.97 and 35,146.26 is: 52,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,031.98 : 171,047.97 = 35,146.26 : x
  2. Step 2: Convert to fraction form
    114,031.98/171,047.97 = 35,146.26/x
  3. Step 3: Cross multiply
    114,031.98x = 171,047.97 × 35,146.26
  4. Step 4: Simplify right side
    114,031.98x = 6,011,696,426.09
  5. Step 5: Solve for x
    x = 6,011,696,426.09/114,031.98
  6. Step 6: Final answer
    x = 52,719.39

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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.