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Finding the Fourth Proportional to 52,202.88, 78,303.65 and 12,760.34

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Solution

The fourth proportional to 52,202.88, 78,303.65 and 12,760.34 is: 19,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,202.88 : 78,303.65 = 12,760.34 : x
  2. Step 2: Convert to fraction form
    52,202.88/78,303.65 = 12,760.34/x
  3. Step 3: Cross multiply
    52,202.88x = 78,303.65 × 12,760.34
  4. Step 4: Simplify right side
    52,202.88x = 999,180,741.92
  5. Step 5: Solve for x
    x = 999,180,741.92/52,202.88
  6. Step 6: Final answer
    x = 19,140.34

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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.