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Finding the Fourth Proportional to 34,568.64, 47,697.12 and 20,414.16

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Solution

The fourth proportional to 34,568.64, 47,697.12 and 20,414.16 is: 28,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,568.64 : 47,697.12 = 20,414.16 : x
  2. Step 2: Convert to fraction form
    34,568.64/47,697.12 = 20,414.16/x
  3. Step 3: Cross multiply
    34,568.64x = 47,697.12 × 20,414.16
  4. Step 4: Simplify right side
    34,568.64x = 973,696,639.22
  5. Step 5: Solve for x
    x = 973,696,639.22/34,568.64
  6. Step 6: Final answer
    x = 28,167.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.