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Finding the Fourth Proportional to 37,365, 56,047.36 and 12,406.92

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Solution

The fourth proportional to 37,365, 56,047.36 and 12,406.92 is: 18,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,365 : 56,047.36 = 12,406.92 : x
  2. Step 2: Convert to fraction form
    37,365/56,047.36 = 12,406.92/x
  3. Step 3: Cross multiply
    37,365x = 56,047.36 × 12,406.92
  4. Step 4: Simplify right side
    37,365x = 695,375,111.73
  5. Step 5: Solve for x
    x = 695,375,111.73/37,365
  6. Step 6: Final answer
    x = 18,610.33

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1.5x scale

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.