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Finding the Fourth Proportional to 38,573.84, 57,825.72 and 15,214.16

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Solution

The fourth proportional to 38,573.84, 57,825.72 and 15,214.16 is: 22,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,573.84 : 57,825.72 = 15,214.16 : x
  2. Step 2: Convert to fraction form
    38,573.84/57,825.72 = 15,214.16/x
  3. Step 3: Cross multiply
    38,573.84x = 57,825.72 × 15,214.16
  4. Step 4: Simplify right side
    38,573.84x = 879,769,756.20
  5. Step 5: Solve for x
    x = 879,769,756.20/38,573.84
  6. Step 6: Final answer
    x = 22,807.42

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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.