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Finding the Fourth Proportional to 37,880.33, 56,820.47 and 10,178.33

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Solution

The fourth proportional to 37,880.33, 56,820.47 and 10,178.33 is: 15,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,880.33 : 56,820.47 = 10,178.33 : x
  2. Step 2: Convert to fraction form
    37,880.33/56,820.47 = 10,178.33/x
  3. Step 3: Cross multiply
    37,880.33x = 56,820.47 × 10,178.33
  4. Step 4: Simplify right side
    37,880.33x = 578,337,443.52
  5. Step 5: Solve for x
    x = 578,337,443.52/37,880.33
  6. Step 6: Final answer
    x = 15,267.49

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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.