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Finding the Fourth Proportional to 73,784.32, 101,833.48 and 45,120.48

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Solution

The fourth proportional to 73,784.32, 101,833.48 and 45,120.48 is: 62,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,784.32 : 101,833.48 = 45,120.48 : x
  2. Step 2: Convert to fraction form
    73,784.32/101,833.48 = 45,120.48/x
  3. Step 3: Cross multiply
    73,784.32x = 101,833.48 × 45,120.48
  4. Step 4: Simplify right side
    73,784.32x = 4,594,775,497.67
  5. Step 5: Solve for x
    x = 4,594,775,497.67/73,784.32
  6. Step 6: Final answer
    x = 62,273.06

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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.