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Finding the Fourth Proportional to 67,988.36, 101,971.98 and 34,733

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Solution

The fourth proportional to 67,988.36, 101,971.98 and 34,733 is: 52,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,988.36 : 101,971.98 = 34,733 : x
  2. Step 2: Convert to fraction form
    67,988.36/101,971.98 = 34,733/x
  3. Step 3: Cross multiply
    67,988.36x = 101,971.98 × 34,733
  4. Step 4: Simplify right side
    67,988.36x = 3,541,792,781.34
  5. Step 5: Solve for x
    x = 3,541,792,781.34/67,988.36
  6. Step 6: Final answer
    x = 52,094.11

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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.