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Finding the Fourth Proportional to 67,046.10, 100,633.95 and 40,802.10

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Solution

The fourth proportional to 67,046.10, 100,633.95 and 40,802.10 is: 61,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,046.10 : 100,633.95 = 40,802.10 : x
  2. Step 2: Convert to fraction form
    67,046.10/100,633.95 = 40,802.10/x
  3. Step 3: Cross multiply
    67,046.10x = 100,633.95 × 40,802.10
  4. Step 4: Simplify right side
    67,046.10x = 4,106,076,491.30
  5. Step 5: Solve for x
    x = 4,106,076,491.30/67,046.10
  6. Step 6: Final answer
    x = 61,242.59

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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.