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Finding the Fourth Proportional to 117,165.88, 175,734.24 and 47,021.50

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Solution

The fourth proportional to 117,165.88, 175,734.24 and 47,021.50 is: 70,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,165.88 : 175,734.24 = 47,021.50 : x
  2. Step 2: Convert to fraction form
    117,165.88/175,734.24 = 47,021.50/x
  3. Step 3: Cross multiply
    117,165.88x = 175,734.24 × 47,021.50
  4. Step 4: Simplify right side
    117,165.88x = 8,263,287,566.16
  5. Step 5: Solve for x
    x = 8,263,287,566.16/117,165.88
  6. Step 6: Final answer
    x = 70,526.40

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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.