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Finding the Fourth Proportional to 32,505.16, 48,757.74 and 11,460.82

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Solution

The fourth proportional to 32,505.16, 48,757.74 and 11,460.82 is: 17,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505.16 : 48,757.74 = 11,460.82 : x
  2. Step 2: Convert to fraction form
    32,505.16/48,757.74 = 11,460.82/x
  3. Step 3: Cross multiply
    32,505.16x = 48,757.74 × 11,460.82
  4. Step 4: Simplify right side
    32,505.16x = 558,803,681.75
  5. Step 5: Solve for x
    x = 558,803,681.75/32,505.16
  6. Step 6: Final answer
    x = 17,191.23

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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.