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Finding the Fourth Proportional to 32,663.14, 48,995.28 and 9,290.20

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Solution

The fourth proportional to 32,663.14, 48,995.28 and 9,290.20 is: 13,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,663.14 : 48,995.28 = 9,290.20 : x
  2. Step 2: Convert to fraction form
    32,663.14/48,995.28 = 9,290.20/x
  3. Step 3: Cross multiply
    32,663.14x = 48,995.28 × 9,290.20
  4. Step 4: Simplify right side
    32,663.14x = 455,175,950.26
  5. Step 5: Solve for x
    x = 455,175,950.26/32,663.14
  6. Step 6: Final answer
    x = 13,935.46

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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.