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Finding the Fourth Proportional to 67,987.36, 101,970.48 and 34,732

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Solution

The fourth proportional to 67,987.36, 101,970.48 and 34,732 is: 52,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,987.36 : 101,970.48 = 34,732 : x
  2. Step 2: Convert to fraction form
    67,987.36/101,970.48 = 34,732/x
  3. Step 3: Cross multiply
    67,987.36x = 101,970.48 × 34,732
  4. Step 4: Simplify right side
    67,987.36x = 3,541,638,711.36
  5. Step 5: Solve for x
    x = 3,541,638,711.36/67,987.36
  6. Step 6: Final answer
    x = 52,092.61

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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.