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Finding the Fourth Proportional to 31,863.42, 47,803.86 and 9,677.52

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Solution

The fourth proportional to 31,863.42, 47,803.86 and 9,677.52 is: 14,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.42 : 47,803.86 = 9,677.52 : x
  2. Step 2: Convert to fraction form
    31,863.42/47,803.86 = 9,677.52/x
  3. Step 3: Cross multiply
    31,863.42x = 47,803.86 × 9,677.52
  4. Step 4: Simplify right side
    31,863.42x = 462,622,811.23
  5. Step 5: Solve for x
    x = 462,622,811.23/31,863.42
  6. Step 6: Final answer
    x = 14,518.93

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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.