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Finding the Fourth Proportional to 61,467.76, 84,827.20 and 37,594

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Solution

The fourth proportional to 61,467.76, 84,827.20 and 37,594 is: 51,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,467.76 : 84,827.20 = 37,594 : x
  2. Step 2: Convert to fraction form
    61,467.76/84,827.20 = 37,594/x
  3. Step 3: Cross multiply
    61,467.76x = 84,827.20 × 37,594
  4. Step 4: Simplify right side
    61,467.76x = 3,188,993,756.80
  5. Step 5: Solve for x
    x = 3,188,993,756.80/61,467.76
  6. Step 6: Final answer
    x = 51,880.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.