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Finding the Fourth Proportional to 32,116.29, 48,178.74 and 30,345.63

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Solution

The fourth proportional to 32,116.29, 48,178.74 and 30,345.63 is: 45,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.29 : 48,178.74 = 30,345.63 : x
  2. Step 2: Convert to fraction form
    32,116.29/48,178.74 = 30,345.63/x
  3. Step 3: Cross multiply
    32,116.29x = 48,178.74 × 30,345.63
  4. Step 4: Simplify right side
    32,116.29x = 1,462,014,217.91
  5. Step 5: Solve for x
    x = 1,462,014,217.91/32,116.29
  6. Step 6: Final answer
    x = 45,522.51

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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.