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Finding the Fourth Proportional to 65,842.86, 90,877.41 and 41,628.45

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Solution

The fourth proportional to 65,842.86, 90,877.41 and 41,628.45 is: 57,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842.86 : 90,877.41 = 41,628.45 : x
  2. Step 2: Convert to fraction form
    65,842.86/90,877.41 = 41,628.45/x
  3. Step 3: Cross multiply
    65,842.86x = 90,877.41 × 41,628.45
  4. Step 4: Simplify right side
    65,842.86x = 3,783,085,718.31
  5. Step 5: Solve for x
    x = 3,783,085,718.31/65,842.86
  6. Step 6: Final answer
    x = 57,456.28

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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.