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Finding the Fourth Proportional to 32,536.14, 48,805.59 and 10,347.21

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Solution

The fourth proportional to 32,536.14, 48,805.59 and 10,347.21 is: 15,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,536.14 : 48,805.59 = 10,347.21 : x
  2. Step 2: Convert to fraction form
    32,536.14/48,805.59 = 10,347.21/x
  3. Step 3: Cross multiply
    32,536.14x = 48,805.59 × 10,347.21
  4. Step 4: Simplify right side
    32,536.14x = 505,001,688.90
  5. Step 5: Solve for x
    x = 505,001,688.90/32,536.14
  6. Step 6: Final answer
    x = 15,521.25

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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.