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Finding the Fourth Proportional to 45,202.32, 62,378.37 and 24,784.38

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Solution

The fourth proportional to 45,202.32, 62,378.37 and 24,784.38 is: 34,201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,202.32 : 62,378.37 = 24,784.38 : x
  2. Step 2: Convert to fraction form
    45,202.32/62,378.37 = 24,784.38/x
  3. Step 3: Cross multiply
    45,202.32x = 62,378.37 × 24,784.38
  4. Step 4: Simplify right side
    45,202.32x = 1,546,009,225.86
  5. Step 5: Solve for x
    x = 1,546,009,225.86/45,202.32
  6. Step 6: Final answer
    x = 34,201.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.