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Finding the Fourth Proportional to 74,379.76, 111,564 and 24,461.48

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Solution

The fourth proportional to 74,379.76, 111,564 and 24,461.48 is: 36,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,379.76 : 111,564 = 24,461.48 : x
  2. Step 2: Convert to fraction form
    74,379.76/111,564 = 24,461.48/x
  3. Step 3: Cross multiply
    74,379.76x = 111,564 × 24,461.48
  4. Step 4: Simplify right side
    74,379.76x = 2,729,020,554.72
  5. Step 5: Solve for x
    x = 2,729,020,554.72/74,379.76
  6. Step 6: Final answer
    x = 36,690.37

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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.