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Finding the Fourth Proportional to 37,660, 56,498.68 and 13,036

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Solution

The fourth proportional to 37,660, 56,498.68 and 13,036 is: 19,557.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,660 : 56,498.68 = 13,036 : x
  2. Step 2: Convert to fraction form
    37,660/56,498.68 = 13,036/x
  3. Step 3: Cross multiply
    37,660x = 56,498.68 × 13,036
  4. Step 4: Simplify right side
    37,660x = 736,516,792.48
  5. Step 5: Solve for x
    x = 736,516,792.48/37,660
  6. Step 6: Final answer
    x = 19,557.00

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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.