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Finding the Fourth Proportional to 37,113.92, 55,676.64 and 12,488

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Solution

The fourth proportional to 37,113.92, 55,676.64 and 12,488 is: 18,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,113.92 : 55,676.64 = 12,488 : x
  2. Step 2: Convert to fraction form
    37,113.92/55,676.64 = 12,488/x
  3. Step 3: Cross multiply
    37,113.92x = 55,676.64 × 12,488
  4. Step 4: Simplify right side
    37,113.92x = 695,289,880.32
  5. Step 5: Solve for x
    x = 695,289,880.32/37,113.92
  6. Step 6: Final answer
    x = 18,733.94

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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.