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Finding the Fourth Proportional to 37,553, 56,329.50 and 9,851

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Solution

The fourth proportional to 37,553, 56,329.50 and 9,851 is: 14,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,553 : 56,329.50 = 9,851 : x
  2. Step 2: Convert to fraction form
    37,553/56,329.50 = 9,851/x
  3. Step 3: Cross multiply
    37,553x = 56,329.50 × 9,851
  4. Step 4: Simplify right side
    37,553x = 554,901,904.50
  5. Step 5: Solve for x
    x = 554,901,904.50/37,553
  6. Step 6: Final answer
    x = 14,776.50

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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.