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Finding the Fourth Proportional to 68,638.40, 103,034.40 and 37,457.60

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Solution

The fourth proportional to 68,638.40, 103,034.40 and 37,457.60 is: 56,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,638.40 : 103,034.40 = 37,457.60 : x
  2. Step 2: Convert to fraction form
    68,638.40/103,034.40 = 37,457.60/x
  3. Step 3: Cross multiply
    68,638.40x = 103,034.40 × 37,457.60
  4. Step 4: Simplify right side
    68,638.40x = 3,859,421,341.44
  5. Step 5: Solve for x
    x = 3,859,421,341.44/68,638.40
  6. Step 6: Final answer
    x = 56,228.31

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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.