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Finding the Fourth Proportional to 117,164.88, 175,732.74 and 47,020.50

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Solution

The fourth proportional to 117,164.88, 175,732.74 and 47,020.50 is: 70,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,164.88 : 175,732.74 = 47,020.50 : x
  2. Step 2: Convert to fraction form
    117,164.88/175,732.74 = 47,020.50/x
  3. Step 3: Cross multiply
    117,164.88x = 175,732.74 × 47,020.50
  4. Step 4: Simplify right side
    117,164.88x = 8,263,041,301.17
  5. Step 5: Solve for x
    x = 8,263,041,301.17/117,164.88
  6. Step 6: Final answer
    x = 70,524.90

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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.