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Finding the Fourth Proportional to 31,642.84, 43,681.44 and 20,328.76

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Solution

The fourth proportional to 31,642.84, 43,681.44 and 20,328.76 is: 28,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.84 : 43,681.44 = 20,328.76 : x
  2. Step 2: Convert to fraction form
    31,642.84/43,681.44 = 20,328.76/x
  3. Step 3: Cross multiply
    31,642.84x = 43,681.44 × 20,328.76
  4. Step 4: Simplify right side
    31,642.84x = 887,989,510.21
  5. Step 5: Solve for x
    x = 887,989,510.21/31,642.84
  6. Step 6: Final answer
    x = 28,062.89

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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.