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Finding the Fourth Proportional to 32,356.64, 48,529.56 and 8,985.44

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Solution

The fourth proportional to 32,356.64, 48,529.56 and 8,985.44 is: 13,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,356.64 : 48,529.56 = 8,985.44 : x
  2. Step 2: Convert to fraction form
    32,356.64/48,529.56 = 8,985.44/x
  3. Step 3: Cross multiply
    32,356.64x = 48,529.56 × 8,985.44
  4. Step 4: Simplify right side
    32,356.64x = 436,059,449.61
  5. Step 5: Solve for x
    x = 436,059,449.61/32,356.64
  6. Step 6: Final answer
    x = 13,476.66

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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.