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Finding the Fourth Proportional to 37,833.52, 56,750.14 and 11,538.20

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Solution

The fourth proportional to 37,833.52, 56,750.14 and 11,538.20 is: 17,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,833.52 : 56,750.14 = 11,538.20 : x
  2. Step 2: Convert to fraction form
    37,833.52/56,750.14 = 11,538.20/x
  3. Step 3: Cross multiply
    37,833.52x = 56,750.14 × 11,538.20
  4. Step 4: Simplify right side
    37,833.52x = 654,794,465.35
  5. Step 5: Solve for x
    x = 654,794,465.35/37,833.52
  6. Step 6: Final answer
    x = 17,307.26

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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.