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Finding the Fourth Proportional to 34,658.84, 47,829.22 and 19,551.47

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Solution

The fourth proportional to 34,658.84, 47,829.22 and 19,551.47 is: 26,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,658.84 : 47,829.22 = 19,551.47 : x
  2. Step 2: Convert to fraction form
    34,658.84/47,829.22 = 19,551.47/x
  3. Step 3: Cross multiply
    34,658.84x = 47,829.22 × 19,551.47
  4. Step 4: Simplify right side
    34,658.84x = 935,131,271.93
  5. Step 5: Solve for x
    x = 935,131,271.93/34,658.84
  6. Step 6: Final answer
    x = 26,981.03

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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.