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Finding the Fourth Proportional to 37,005.84, 55,513.98 and 12,037.86

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Solution

The fourth proportional to 37,005.84, 55,513.98 and 12,037.86 is: 18,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,005.84 : 55,513.98 = 12,037.86 : x
  2. Step 2: Convert to fraction form
    37,005.84/55,513.98 = 12,037.86/x
  3. Step 3: Cross multiply
    37,005.84x = 55,513.98 × 12,037.86
  4. Step 4: Simplify right side
    37,005.84x = 668,269,519.28
  5. Step 5: Solve for x
    x = 668,269,519.28/37,005.84
  6. Step 6: Final answer
    x = 18,058.49

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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.