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Finding the Fourth Proportional to 37,724.99, 56,813.16 and 34,362.02

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Solution

The fourth proportional to 37,724.99, 56,813.16 and 34,362.02 is: 51,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,724.99 : 56,813.16 = 34,362.02 : x
  2. Step 2: Convert to fraction form
    37,724.99/56,813.16 = 34,362.02/x
  3. Step 3: Cross multiply
    37,724.99x = 56,813.16 × 34,362.02
  4. Step 4: Simplify right side
    37,724.99x = 1,952,214,656.12
  5. Step 5: Solve for x
    x = 1,952,214,656.12/37,724.99
  6. Step 6: Final answer
    x = 51,748.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.