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Finding the Fourth Proportional to 32,347.64, 48,521.01 and 10,162.35

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Solution

The fourth proportional to 32,347.64, 48,521.01 and 10,162.35 is: 15,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,347.64 : 48,521.01 = 10,162.35 : x
  2. Step 2: Convert to fraction form
    32,347.64/48,521.01 = 10,162.35/x
  3. Step 3: Cross multiply
    32,347.64x = 48,521.01 × 10,162.35
  4. Step 4: Simplify right side
    32,347.64x = 493,087,485.97
  5. Step 5: Solve for x
    x = 493,087,485.97/32,347.64
  6. Step 6: Final answer
    x = 15,243.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.