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Finding the Fourth Proportional to 37,651.80, 56,412.90 and 24,497.40

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Solution

The fourth proportional to 37,651.80, 56,412.90 and 24,497.40 is: 36,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,651.80 : 56,412.90 = 24,497.40 : x
  2. Step 2: Convert to fraction form
    37,651.80/56,412.90 = 24,497.40/x
  3. Step 3: Cross multiply
    37,651.80x = 56,412.90 × 24,497.40
  4. Step 4: Simplify right side
    37,651.80x = 1,381,969,376.46
  5. Step 5: Solve for x
    x = 1,381,969,376.46/37,651.80
  6. Step 6: Final answer
    x = 36,703.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.