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Finding the Fourth Proportional to 32,656.76, 48,977.14 and 8,964.46

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Solution

The fourth proportional to 32,656.76, 48,977.14 and 8,964.46 is: 13,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656.76 : 48,977.14 = 8,964.46 : x
  2. Step 2: Convert to fraction form
    32,656.76/48,977.14 = 8,964.46/x
  3. Step 3: Cross multiply
    32,656.76x = 48,977.14 × 8,964.46
  4. Step 4: Simplify right side
    32,656.76x = 439,053,612.44
  5. Step 5: Solve for x
    x = 439,053,612.44/32,656.76
  6. Step 6: Final answer
    x = 13,444.49

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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.