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Finding the Fourth Proportional to 117,125.66, 175,721.34 and 47,054.18

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Solution

The fourth proportional to 117,125.66, 175,721.34 and 47,054.18 is: 70,594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,125.66 : 175,721.34 = 47,054.18 : x
  2. Step 2: Convert to fraction form
    117,125.66/175,721.34 = 47,054.18/x
  3. Step 3: Cross multiply
    117,125.66x = 175,721.34 × 47,054.18
  4. Step 4: Simplify right side
    117,125.66x = 8,268,423,562.20
  5. Step 5: Solve for x
    x = 8,268,423,562.20/117,125.66
  6. Step 6: Final answer
    x = 70,594.47

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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.