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Finding the Fourth Proportional to 37,878.50, 56,806.87 and 11,577.06

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Solution

The fourth proportional to 37,878.50, 56,806.87 and 11,577.06 is: 17,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,878.50 : 56,806.87 = 11,577.06 : x
  2. Step 2: Convert to fraction form
    37,878.50/56,806.87 = 11,577.06/x
  3. Step 3: Cross multiply
    37,878.50x = 56,806.87 × 11,577.06
  4. Step 4: Simplify right side
    37,878.50x = 657,656,542.40
  5. Step 5: Solve for x
    x = 657,656,542.40/37,878.50
  6. Step 6: Final answer
    x = 17,362.26

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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.