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Finding the Fourth Proportional to 31,907.90, 47,863.02 and 16,307.30

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Solution

The fourth proportional to 31,907.90, 47,863.02 and 16,307.30 is: 24,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.90 : 47,863.02 = 16,307.30 : x
  2. Step 2: Convert to fraction form
    31,907.90/47,863.02 = 16,307.30/x
  3. Step 3: Cross multiply
    31,907.90x = 47,863.02 × 16,307.30
  4. Step 4: Simplify right side
    31,907.90x = 780,516,626.05
  5. Step 5: Solve for x
    x = 780,516,626.05/31,907.90
  6. Step 6: Final answer
    x = 24,461.55

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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.