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Finding the Fourth Proportional to 31,492.99, 43,462.29 and 17,345.83

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Solution

The fourth proportional to 31,492.99, 43,462.29 and 17,345.83 is: 23,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,492.99 : 43,462.29 = 17,345.83 : x
  2. Step 2: Convert to fraction form
    31,492.99/43,462.29 = 17,345.83/x
  3. Step 3: Cross multiply
    31,492.99x = 43,462.29 × 17,345.83
  4. Step 4: Simplify right side
    31,492.99x = 753,889,493.75
  5. Step 5: Solve for x
    x = 753,889,493.75/31,492.99
  6. Step 6: Final answer
    x = 23,938.33

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Why These Related Problems?

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