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Finding the Fourth Proportional to 35,107.44, 48,479.76 and 32,658

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Solution

The fourth proportional to 35,107.44, 48,479.76 and 32,658 is: 45,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,107.44 : 48,479.76 = 32,658 : x
  2. Step 2: Convert to fraction form
    35,107.44/48,479.76 = 32,658/x
  3. Step 3: Cross multiply
    35,107.44x = 48,479.76 × 32,658
  4. Step 4: Simplify right side
    35,107.44x = 1,583,252,002.08
  5. Step 5: Solve for x
    x = 1,583,252,002.08/35,107.44
  6. Step 6: Final answer
    x = 45,097.34

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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.