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Finding the Fourth Proportional to 31,886.67, 47,832.68 and 9,700.22

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Solution

The fourth proportional to 31,886.67, 47,832.68 and 9,700.22 is: 14,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.67 : 47,832.68 = 9,700.22 : x
  2. Step 2: Convert to fraction form
    31,886.67/47,832.68 = 9,700.22/x
  3. Step 3: Cross multiply
    31,886.67x = 47,832.68 × 9,700.22
  4. Step 4: Simplify right side
    31,886.67x = 463,987,231.53
  5. Step 5: Solve for x
    x = 463,987,231.53/31,886.67
  6. Step 6: Final answer
    x = 14,551.13

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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.