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Finding the Fourth Proportional to 32,488.47, 48,714.48 and 15,813

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Solution

The fourth proportional to 32,488.47, 48,714.48 and 15,813 is: 23,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,488.47 : 48,714.48 = 15,813 : x
  2. Step 2: Convert to fraction form
    32,488.47/48,714.48 = 15,813/x
  3. Step 3: Cross multiply
    32,488.47x = 48,714.48 × 15,813
  4. Step 4: Simplify right side
    32,488.47x = 770,322,072.24
  5. Step 5: Solve for x
    x = 770,322,072.24/32,488.47
  6. Step 6: Final answer
    x = 23,710.63

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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.