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Finding the Fourth Proportional to 31,869.03, 47,803.53 and 9,682.32

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Solution

The fourth proportional to 31,869.03, 47,803.53 and 9,682.32 is: 14,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,869.03 : 47,803.53 = 9,682.32 : x
  2. Step 2: Convert to fraction form
    31,869.03/47,803.53 = 9,682.32/x
  3. Step 3: Cross multiply
    31,869.03x = 47,803.53 × 9,682.32
  4. Step 4: Simplify right side
    31,869.03x = 462,849,074.59
  5. Step 5: Solve for x
    x = 462,849,074.59/31,869.03
  6. Step 6: Final answer
    x = 14,523.48

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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.