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Finding the Fourth Proportional to 52,205.88, 78,308.82 and 12,762.96

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Solution

The fourth proportional to 52,205.88, 78,308.82 and 12,762.96 is: 19,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,205.88 : 78,308.82 = 12,762.96 : x
  2. Step 2: Convert to fraction form
    52,205.88/78,308.82 = 12,762.96/x
  3. Step 3: Cross multiply
    52,205.88x = 78,308.82 × 12,762.96
  4. Step 4: Simplify right side
    52,205.88x = 999,452,337.31
  5. Step 5: Solve for x
    x = 999,452,337.31/52,205.88
  6. Step 6: Final answer
    x = 19,144.44

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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.