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Finding the Fourth Proportional to 32,507.16, 48,760.74 and 11,730.66

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Solution

The fourth proportional to 32,507.16, 48,760.74 and 11,730.66 is: 17,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.16 : 48,760.74 = 11,730.66 : x
  2. Step 2: Convert to fraction form
    32,507.16/48,760.74 = 11,730.66/x
  3. Step 3: Cross multiply
    32,507.16x = 48,760.74 × 11,730.66
  4. Step 4: Simplify right side
    32,507.16x = 571,995,662.29
  5. Step 5: Solve for x
    x = 571,995,662.29/32,507.16
  6. Step 6: Final answer
    x = 17,595.99

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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.