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Finding the Fourth Proportional to 75,314.92, 103,943.46 and 41,783.08

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Solution

The fourth proportional to 75,314.92, 103,943.46 and 41,783.08 is: 57,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314.92 : 103,943.46 = 41,783.08 : x
  2. Step 2: Convert to fraction form
    75,314.92/103,943.46 = 41,783.08/x
  3. Step 3: Cross multiply
    75,314.92x = 103,943.46 × 41,783.08
  4. Step 4: Simplify right side
    75,314.92x = 4,343,077,904.66
  5. Step 5: Solve for x
    x = 4,343,077,904.66/75,314.92
  6. Step 6: Final answer
    x = 57,665.57

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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.