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Finding the Fourth Proportional to 31,220.29, 43,092.02 and 19,276.77

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Solution

The fourth proportional to 31,220.29, 43,092.02 and 19,276.77 is: 26,606.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,220.29 : 43,092.02 = 19,276.77 : x
  2. Step 2: Convert to fraction form
    31,220.29/43,092.02 = 19,276.77/x
  3. Step 3: Cross multiply
    31,220.29x = 43,092.02 × 19,276.77
  4. Step 4: Simplify right side
    31,220.29x = 830,674,958.38
  5. Step 5: Solve for x
    x = 830,674,958.38/31,220.29
  6. Step 6: Final answer
    x = 26,606.89

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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.