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Finding the Fourth Proportional to 37,696, 56,544 and 11,400.16

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Solution

The fourth proportional to 37,696, 56,544 and 11,400.16 is: 17,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,696 : 56,544 = 11,400.16 : x
  2. Step 2: Convert to fraction form
    37,696/56,544 = 11,400.16/x
  3. Step 3: Cross multiply
    37,696x = 56,544 × 11,400.16
  4. Step 4: Simplify right side
    37,696x = 644,610,647.04
  5. Step 5: Solve for x
    x = 644,610,647.04/37,696
  6. Step 6: Final answer
    x = 17,100.24

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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.