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Finding the Fourth Proportional to 37,656.50, 56,509.35 and 20,138.63

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Solution

The fourth proportional to 37,656.50, 56,509.35 and 20,138.63 is: 30,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,656.50 : 56,509.35 = 20,138.63 : x
  2. Step 2: Convert to fraction form
    37,656.50/56,509.35 = 20,138.63/x
  3. Step 3: Cross multiply
    37,656.50x = 56,509.35 × 20,138.63
  4. Step 4: Simplify right side
    37,656.50x = 1,138,020,533.12
  5. Step 5: Solve for x
    x = 1,138,020,533.12/37,656.50
  6. Step 6: Final answer
    x = 30,221.10

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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.