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Finding the Fourth Proportional to 27,188.10, 40,782.15 and 24,509.70

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Solution

The fourth proportional to 27,188.10, 40,782.15 and 24,509.70 is: 36,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,188.10 : 40,782.15 = 24,509.70 : x
  2. Step 2: Convert to fraction form
    27,188.10/40,782.15 = 24,509.70/x
  3. Step 3: Cross multiply
    27,188.10x = 40,782.15 × 24,509.70
  4. Step 4: Simplify right side
    27,188.10x = 999,558,261.86
  5. Step 5: Solve for x
    x = 999,558,261.86/27,188.10
  6. Step 6: Final answer
    x = 36,764.55

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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.