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Finding the Fourth Proportional to 37,658, 56,432.50 and 20,794.32

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Solution

The fourth proportional to 37,658, 56,432.50 and 20,794.32 is: 31,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658 : 56,432.50 = 20,794.32 : x
  2. Step 2: Convert to fraction form
    37,658/56,432.50 = 20,794.32/x
  3. Step 3: Cross multiply
    37,658x = 56,432.50 × 20,794.32
  4. Step 4: Simplify right side
    37,658x = 1,173,475,463.40
  5. Step 5: Solve for x
    x = 1,173,475,463.40/37,658
  6. Step 6: Final answer
    x = 31,161.39

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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.