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Finding the Fourth Proportional to 117,348.52, 175,978.86 and 47,203.96

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Solution

The fourth proportional to 117,348.52, 175,978.86 and 47,203.96 is: 70,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,348.52 : 175,978.86 = 47,203.96 : x
  2. Step 2: Convert to fraction form
    117,348.52/175,978.86 = 47,203.96/x
  3. Step 3: Cross multiply
    117,348.52x = 175,978.86 × 47,203.96
  4. Step 4: Simplify right side
    117,348.52x = 8,306,899,068.29
  5. Step 5: Solve for x
    x = 8,306,899,068.29/117,348.52
  6. Step 6: Final answer
    x = 70,788.27

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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.