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Finding the Fourth Proportional to 56,004.80, 83,834.40 and 32,561.60

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Solution

The fourth proportional to 56,004.80, 83,834.40 and 32,561.60 is: 48,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,004.80 : 83,834.40 = 32,561.60 : x
  2. Step 2: Convert to fraction form
    56,004.80/83,834.40 = 32,561.60/x
  3. Step 3: Cross multiply
    56,004.80x = 83,834.40 × 32,561.60
  4. Step 4: Simplify right side
    56,004.80x = 2,729,782,199.04
  5. Step 5: Solve for x
    x = 2,729,782,199.04/56,004.80
  6. Step 6: Final answer
    x = 48,741.93

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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.