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Finding the Fourth Proportional to 65,126.66, 97,668.57 and 22,999.10

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Solution

The fourth proportional to 65,126.66, 97,668.57 and 22,999.10 is: 34,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,126.66 : 97,668.57 = 22,999.10 : x
  2. Step 2: Convert to fraction form
    65,126.66/97,668.57 = 22,999.10/x
  3. Step 3: Cross multiply
    65,126.66x = 97,668.57 × 22,999.10
  4. Step 4: Simplify right side
    65,126.66x = 2,246,289,208.29
  5. Step 5: Solve for x
    x = 2,246,289,208.29/65,126.66
  6. Step 6: Final answer
    x = 34,491.09

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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.