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Finding the Fourth Proportional to 56,324, 84,453.20 and 24,732.78

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Solution

The fourth proportional to 56,324, 84,453.20 and 24,732.78 is: 37,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,324 : 84,453.20 = 24,732.78 : x
  2. Step 2: Convert to fraction form
    56,324/84,453.20 = 24,732.78/x
  3. Step 3: Cross multiply
    56,324x = 84,453.20 × 24,732.78
  4. Step 4: Simplify right side
    56,324x = 2,088,762,415.90
  5. Step 5: Solve for x
    x = 2,088,762,415.90/56,324
  6. Step 6: Final answer
    x = 37,084.77

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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.