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Finding the Fourth Proportional to 35,199, 48,614.31 and 23,314.68

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Solution

The fourth proportional to 35,199, 48,614.31 and 23,314.68 is: 32,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,199 : 48,614.31 = 23,314.68 : x
  2. Step 2: Convert to fraction form
    35,199/48,614.31 = 23,314.68/x
  3. Step 3: Cross multiply
    35,199x = 48,614.31 × 23,314.68
  4. Step 4: Simplify right side
    35,199x = 1,133,427,081.07
  5. Step 5: Solve for x
    x = 1,133,427,081.07/35,199
  6. Step 6: Final answer
    x = 32,200.55

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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.