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Finding the Fourth Proportional to 49,904.65, 74,911.65 and 31,205.80

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Solution

The fourth proportional to 49,904.65, 74,911.65 and 31,205.80 is: 46,842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,904.65 : 74,911.65 = 31,205.80 : x
  2. Step 2: Convert to fraction form
    49,904.65/74,911.65 = 31,205.80/x
  3. Step 3: Cross multiply
    49,904.65x = 74,911.65 × 31,205.80
  4. Step 4: Simplify right side
    49,904.65x = 2,337,677,967.57
  5. Step 5: Solve for x
    x = 2,337,677,967.57/49,904.65
  6. Step 6: Final answer
    x = 46,842.89

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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.