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Finding the Fourth Proportional to 55,738.50, 76,894.01 and 33,078.45

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Solution

The fourth proportional to 55,738.50, 76,894.01 and 33,078.45 is: 45,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,738.50 : 76,894.01 = 33,078.45 : x
  2. Step 2: Convert to fraction form
    55,738.50/76,894.01 = 33,078.45/x
  3. Step 3: Cross multiply
    55,738.50x = 76,894.01 × 33,078.45
  4. Step 4: Simplify right side
    55,738.50x = 2,543,534,280.61
  5. Step 5: Solve for x
    x = 2,543,534,280.61/55,738.50
  6. Step 6: Final answer
    x = 45,633.35

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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.