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Finding the Fourth Proportional to 37,750.12, 56,625.18 and 11,455

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Solution

The fourth proportional to 37,750.12, 56,625.18 and 11,455 is: 17,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,750.12 : 56,625.18 = 11,455 : x
  2. Step 2: Convert to fraction form
    37,750.12/56,625.18 = 11,455/x
  3. Step 3: Cross multiply
    37,750.12x = 56,625.18 × 11,455
  4. Step 4: Simplify right side
    37,750.12x = 648,641,436.90
  5. Step 5: Solve for x
    x = 648,641,436.90/37,750.12
  6. Step 6: Final answer
    x = 17,182.50

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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.