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Finding the Fourth Proportional to 52,238.40, 78,370.56 and 24,504

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Solution

The fourth proportional to 52,238.40, 78,370.56 and 24,504 is: 36,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,238.40 : 78,370.56 = 24,504 : x
  2. Step 2: Convert to fraction form
    52,238.40/78,370.56 = 24,504/x
  3. Step 3: Cross multiply
    52,238.40x = 78,370.56 × 24,504
  4. Step 4: Simplify right side
    52,238.40x = 1,920,392,202.24
  5. Step 5: Solve for x
    x = 1,920,392,202.24/52,238.40
  6. Step 6: Final answer
    x = 36,762.08

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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.