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Finding the Fourth Proportional to 31,842.54, 47,763.75 and 8,468.98

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Solution

The fourth proportional to 31,842.54, 47,763.75 and 8,468.98 is: 12,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.54 : 47,763.75 = 8,468.98 : x
  2. Step 2: Convert to fraction form
    31,842.54/47,763.75 = 8,468.98/x
  3. Step 3: Cross multiply
    31,842.54x = 47,763.75 × 8,468.98
  4. Step 4: Simplify right side
    31,842.54x = 404,510,155.82
  5. Step 5: Solve for x
    x = 404,510,155.82/31,842.54
  6. Step 6: Final answer
    x = 12,703.45

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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.