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Finding the Fourth Proportional to 56,200.96, 77,532.96 and 33,832

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Solution

The fourth proportional to 56,200.96, 77,532.96 and 33,832 is: 46,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,200.96 : 77,532.96 = 33,832 : x
  2. Step 2: Convert to fraction form
    56,200.96/77,532.96 = 33,832/x
  3. Step 3: Cross multiply
    56,200.96x = 77,532.96 × 33,832
  4. Step 4: Simplify right side
    56,200.96x = 2,623,095,102.72
  5. Step 5: Solve for x
    x = 2,623,095,102.72/56,200.96
  6. Step 6: Final answer
    x = 46,673.49

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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.