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Finding the Fourth Proportional to 71,087, 106,631.14 and 24,340.28

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Solution

The fourth proportional to 71,087, 106,631.14 and 24,340.28 is: 36,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,087 : 106,631.14 = 24,340.28 : x
  2. Step 2: Convert to fraction form
    71,087/106,631.14 = 24,340.28/x
  3. Step 3: Cross multiply
    71,087x = 106,631.14 × 24,340.28
  4. Step 4: Simplify right side
    71,087x = 2,595,431,804.32
  5. Step 5: Solve for x
    x = 2,595,431,804.32/71,087
  6. Step 6: Final answer
    x = 36,510.64

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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.