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Finding the Fourth Proportional to 35,792.65, 53,684.07 and 19,811.75

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Solution

The fourth proportional to 35,792.65, 53,684.07 and 19,811.75 is: 29,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,792.65 : 53,684.07 = 19,811.75 : x
  2. Step 2: Convert to fraction form
    35,792.65/53,684.07 = 19,811.75/x
  3. Step 3: Cross multiply
    35,792.65x = 53,684.07 × 19,811.75
  4. Step 4: Simplify right side
    35,792.65x = 1,063,575,105.40
  5. Step 5: Solve for x
    x = 1,063,575,105.40/35,792.65
  6. Step 6: Final answer
    x = 29,714.90

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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.