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Finding the Fourth Proportional to 49,207.65, 73,829.70 and 19,646.70

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Solution

The fourth proportional to 49,207.65, 73,829.70 and 19,646.70 is: 29,477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,207.65 : 73,829.70 = 19,646.70 : x
  2. Step 2: Convert to fraction form
    49,207.65/73,829.70 = 19,646.70/x
  3. Step 3: Cross multiply
    49,207.65x = 73,829.70 × 19,646.70
  4. Step 4: Simplify right side
    49,207.65x = 1,450,509,966.99
  5. Step 5: Solve for x
    x = 1,450,509,966.99/49,207.65
  6. Step 6: Final answer
    x = 29,477.33

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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.