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Finding the Fourth Proportional to 55,894.94, 83,744.00 and 52,565.24

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Solution

The fourth proportional to 55,894.94, 83,744.00 and 52,565.24 is: 78,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,894.94 : 83,744.00 = 52,565.24 : x
  2. Step 2: Convert to fraction form
    55,894.94/83,744.00 = 52,565.24/x
  3. Step 3: Cross multiply
    55,894.94x = 83,744.00 × 52,565.24
  4. Step 4: Simplify right side
    55,894.94x = 4,402,022,777.01
  5. Step 5: Solve for x
    x = 4,402,022,777.01/55,894.94
  6. Step 6: Final answer
    x = 78,755.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.