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Finding the Fourth Proportional to 31,642.81, 43,666.87 and 17,302.93

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Solution

The fourth proportional to 31,642.81, 43,666.87 and 17,302.93 is: 23,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.81 : 43,666.87 = 17,302.93 : x
  2. Step 2: Convert to fraction form
    31,642.81/43,666.87 = 17,302.93/x
  3. Step 3: Cross multiply
    31,642.81x = 43,666.87 × 17,302.93
  4. Step 4: Simplify right side
    31,642.81x = 755,564,785.02
  5. Step 5: Solve for x
    x = 755,564,785.02/31,642.81
  6. Step 6: Final answer
    x = 23,877.93

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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.