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Finding the Fourth Proportional to 52,007.26, 78,011.09 and 12,564.31

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Solution

The fourth proportional to 52,007.26, 78,011.09 and 12,564.31 is: 18,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,007.26 : 78,011.09 = 12,564.31 : x
  2. Step 2: Convert to fraction form
    52,007.26/78,011.09 = 12,564.31/x
  3. Step 3: Cross multiply
    52,007.26x = 78,011.09 × 12,564.31
  4. Step 4: Simplify right side
    52,007.26x = 980,155,518.20
  5. Step 5: Solve for x
    x = 980,155,518.20/52,007.26
  6. Step 6: Final answer
    x = 18,846.51

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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.