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Finding the Fourth Proportional to 34,641.76, 51,829.68 and 19,857.76

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Solution

The fourth proportional to 34,641.76, 51,829.68 and 19,857.76 is: 29,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,641.76 : 51,829.68 = 19,857.76 : x
  2. Step 2: Convert to fraction form
    34,641.76/51,829.68 = 19,857.76/x
  3. Step 3: Cross multiply
    34,641.76x = 51,829.68 × 19,857.76
  4. Step 4: Simplify right side
    34,641.76x = 1,029,221,346.32
  5. Step 5: Solve for x
    x = 1,029,221,346.32/34,641.76
  6. Step 6: Final answer
    x = 29,710.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.