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Finding the Fourth Proportional to 54,285, 74,917.64 and 31,933.32

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Solution

The fourth proportional to 54,285, 74,917.64 and 31,933.32 is: 44,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,285 : 74,917.64 = 31,933.32 : x
  2. Step 2: Convert to fraction form
    54,285/74,917.64 = 31,933.32/x
  3. Step 3: Cross multiply
    54,285x = 74,917.64 × 31,933.32
  4. Step 4: Simplify right side
    54,285x = 2,392,368,971.76
  5. Step 5: Solve for x
    x = 2,392,368,971.76/54,285
  6. Step 6: Final answer
    x = 44,070.53

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1.5x scale

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.