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Finding the Fourth Proportional to 31,658.01, 43,686.72 and 17,509.95

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Solution

The fourth proportional to 31,658.01, 43,686.72 and 17,509.95 is: 24,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.01 : 43,686.72 = 17,509.95 : x
  2. Step 2: Convert to fraction form
    31,658.01/43,686.72 = 17,509.95/x
  3. Step 3: Cross multiply
    31,658.01x = 43,686.72 × 17,509.95
  4. Step 4: Simplify right side
    31,658.01x = 764,952,282.86
  5. Step 5: Solve for x
    x = 764,952,282.86/31,658.01
  6. Step 6: Final answer
    x = 24,162.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.