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Finding the Fourth Proportional to 37,070, 55,610.76 and 12,451.76

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Solution

The fourth proportional to 37,070, 55,610.76 and 12,451.76 is: 18,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,070 : 55,610.76 = 12,451.76 : x
  2. Step 2: Convert to fraction form
    37,070/55,610.76 = 12,451.76/x
  3. Step 3: Cross multiply
    37,070x = 55,610.76 × 12,451.76
  4. Step 4: Simplify right side
    37,070x = 692,451,836.94
  5. Step 5: Solve for x
    x = 692,451,836.94/37,070
  6. Step 6: Final answer
    x = 18,679.57

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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.