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Finding the Fourth Proportional to 31,897.44, 47,842.40 and 8,525.68

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Solution

The fourth proportional to 31,897.44, 47,842.40 and 8,525.68 is: 12,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,897.44 : 47,842.40 = 8,525.68 : x
  2. Step 2: Convert to fraction form
    31,897.44/47,842.40 = 8,525.68/x
  3. Step 3: Cross multiply
    31,897.44x = 47,842.40 × 8,525.68
  4. Step 4: Simplify right side
    31,897.44x = 407,888,992.83
  5. Step 5: Solve for x
    x = 407,888,992.83/31,897.44
  6. Step 6: Final answer
    x = 12,787.52

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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.