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Finding the Fourth Proportional to 55,756.80, 83,608.32 and 32,389.92

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Solution

The fourth proportional to 55,756.80, 83,608.32 and 32,389.92 is: 48,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,756.80 : 83,608.32 = 32,389.92 : x
  2. Step 2: Convert to fraction form
    55,756.80/83,608.32 = 32,389.92/x
  3. Step 3: Cross multiply
    55,756.80x = 83,608.32 × 32,389.92
  4. Step 4: Simplify right side
    55,756.80x = 2,708,066,796.13
  5. Step 5: Solve for x
    x = 2,708,066,796.13/55,756.80
  6. Step 6: Final answer
    x = 48,569.27

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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.