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Finding the Fourth Proportional to 52,400.42, 72,308.42 and 29,739.41

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Solution

The fourth proportional to 52,400.42, 72,308.42 and 29,739.41 is: 41,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,400.42 : 72,308.42 = 29,739.41 : x
  2. Step 2: Convert to fraction form
    52,400.42/72,308.42 = 29,739.41/x
  3. Step 3: Cross multiply
    52,400.42x = 72,308.42 × 29,739.41
  4. Step 4: Simplify right side
    52,400.42x = 2,150,409,642.41
  5. Step 5: Solve for x
    x = 2,150,409,642.41/52,400.42
  6. Step 6: Final answer
    x = 41,038.02

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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.