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Finding the Fourth Proportional to 52,412.32, 78,567.18 and 20,811.86

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Solution

The fourth proportional to 52,412.32, 78,567.18 and 20,811.86 is: 31,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,412.32 : 78,567.18 = 20,811.86 : x
  2. Step 2: Convert to fraction form
    52,412.32/78,567.18 = 20,811.86/x
  3. Step 3: Cross multiply
    52,412.32x = 78,567.18 × 20,811.86
  4. Step 4: Simplify right side
    52,412.32x = 1,635,129,150.75
  5. Step 5: Solve for x
    x = 1,635,129,150.75/52,412.32
  6. Step 6: Final answer
    x = 31,197.42

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