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Finding the Fourth Proportional to 37,535.60, 56,296.52 and 13,838

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Solution

The fourth proportional to 37,535.60, 56,296.52 and 13,838 is: 20,754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,535.60 : 56,296.52 = 13,838 : x
  2. Step 2: Convert to fraction form
    37,535.60/56,296.52 = 13,838/x
  3. Step 3: Cross multiply
    37,535.60x = 56,296.52 × 13,838
  4. Step 4: Simplify right side
    37,535.60x = 779,031,243.76
  5. Step 5: Solve for x
    x = 779,031,243.76/37,535.60
  6. Step 6: Final answer
    x = 20,754.46

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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.