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Finding the Fourth Proportional to 32,650.34, 48,973.80 and 8,956.15

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Solution

The fourth proportional to 32,650.34, 48,973.80 and 8,956.15 is: 13,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,650.34 : 48,973.80 = 8,956.15 : x
  2. Step 2: Convert to fraction form
    32,650.34/48,973.80 = 8,956.15/x
  3. Step 3: Cross multiply
    32,650.34x = 48,973.80 × 8,956.15
  4. Step 4: Simplify right side
    32,650.34x = 438,616,698.87
  5. Step 5: Solve for x
    x = 438,616,698.87/32,650.34
  6. Step 6: Final answer
    x = 13,433.76

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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.