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Finding the Fourth Proportional to 89,197, 133,804.14 and 30,047.56

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Solution

The fourth proportional to 89,197, 133,804.14 and 30,047.56 is: 45,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,197 : 133,804.14 = 30,047.56 : x
  2. Step 2: Convert to fraction form
    89,197/133,804.14 = 30,047.56/x
  3. Step 3: Cross multiply
    89,197x = 133,804.14 × 30,047.56
  4. Step 4: Simplify right side
    89,197x = 4,020,487,924.90
  5. Step 5: Solve for x
    x = 4,020,487,924.90/89,197
  6. Step 6: Final answer
    x = 45,074.25

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1.5x scale

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.