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Finding the Fourth Proportional to 32,354.34, 48,536.42 and 10,165.64

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Solution

The fourth proportional to 32,354.34, 48,536.42 and 10,165.64 is: 15,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,354.34 : 48,536.42 = 10,165.64 : x
  2. Step 2: Convert to fraction form
    32,354.34/48,536.42 = 10,165.64/x
  3. Step 3: Cross multiply
    32,354.34x = 48,536.42 × 10,165.64
  4. Step 4: Simplify right side
    32,354.34x = 493,403,479.10
  5. Step 5: Solve for x
    x = 493,403,479.10/32,354.34
  6. Step 6: Final answer
    x = 15,249.99

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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.