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Finding the Fourth Proportional to 34,656, 47,829.96 and 19,551.76

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Solution

The fourth proportional to 34,656, 47,829.96 and 19,551.76 is: 26,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,656 : 47,829.96 = 19,551.76 : x
  2. Step 2: Convert to fraction form
    34,656/47,829.96 = 19,551.76/x
  3. Step 3: Cross multiply
    34,656x = 47,829.96 × 19,551.76
  4. Step 4: Simplify right side
    34,656x = 935,159,898.73
  5. Step 5: Solve for x
    x = 935,159,898.73/34,656
  6. Step 6: Final answer
    x = 26,984.07

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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.