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Finding the Fourth Proportional to 47,978.32, 71,967.47 and 16,813.57

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Solution

The fourth proportional to 47,978.32, 71,967.47 and 16,813.57 is: 25,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.32 : 71,967.47 = 16,813.57 : x
  2. Step 2: Convert to fraction form
    47,978.32/71,967.47 = 16,813.57/x
  3. Step 3: Cross multiply
    47,978.32x = 71,967.47 × 16,813.57
  4. Step 4: Simplify right side
    47,978.32x = 1,210,029,734.73
  5. Step 5: Solve for x
    x = 1,210,029,734.73/47,978.32
  6. Step 6: Final answer
    x = 25,220.35

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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.