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Finding the Fourth Proportional to 117,074.16, 175,631.76 and 46,954.08

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Solution

The fourth proportional to 117,074.16, 175,631.76 and 46,954.08 is: 70,439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,074.16 : 175,631.76 = 46,954.08 : x
  2. Step 2: Convert to fraction form
    117,074.16/175,631.76 = 46,954.08/x
  3. Step 3: Cross multiply
    117,074.16x = 175,631.76 × 46,954.08
  4. Step 4: Simplify right side
    117,074.16x = 8,246,627,709.58
  5. Step 5: Solve for x
    x = 8,246,627,709.58/117,074.16
  6. Step 6: Final answer
    x = 70,439.35

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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.