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Finding the Fourth Proportional to 37,648.60, 56,471.10 and 12,686.20

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Solution

The fourth proportional to 37,648.60, 56,471.10 and 12,686.20 is: 19,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.60 : 56,471.10 = 12,686.20 : x
  2. Step 2: Convert to fraction form
    37,648.60/56,471.10 = 12,686.20/x
  3. Step 3: Cross multiply
    37,648.60x = 56,471.10 × 12,686.20
  4. Step 4: Simplify right side
    37,648.60x = 716,403,668.82
  5. Step 5: Solve for x
    x = 716,403,668.82/37,648.60
  6. Step 6: Final answer
    x = 19,028.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.