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Finding the Fourth Proportional to 32,589.64, 48,892.46 and 10,403

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Solution

The fourth proportional to 32,589.64, 48,892.46 and 10,403 is: 15,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,589.64 : 48,892.46 = 10,403 : x
  2. Step 2: Convert to fraction form
    32,589.64/48,892.46 = 10,403/x
  3. Step 3: Cross multiply
    32,589.64x = 48,892.46 × 10,403
  4. Step 4: Simplify right side
    32,589.64x = 508,628,261.38
  5. Step 5: Solve for x
    x = 508,628,261.38/32,589.64
  6. Step 6: Final answer
    x = 15,607.05

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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.