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Finding the Fourth Proportional to 48,374.70, 66,771 and 29,254.50

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Solution

The fourth proportional to 48,374.70, 66,771 and 29,254.50 is: 40,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,374.70 : 66,771 = 29,254.50 : x
  2. Step 2: Convert to fraction form
    48,374.70/66,771 = 29,254.50/x
  3. Step 3: Cross multiply
    48,374.70x = 66,771 × 29,254.50
  4. Step 4: Simplify right side
    48,374.70x = 1,953,352,219.50
  5. Step 5: Solve for x
    x = 1,953,352,219.50/48,374.70
  6. Step 6: Final answer
    x = 40,379.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.