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Finding the Fourth Proportional to 32,534.75, 48,807.18 and 11,477.58

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Solution

The fourth proportional to 32,534.75, 48,807.18 and 11,477.58 is: 17,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,534.75 : 48,807.18 = 11,477.58 : x
  2. Step 2: Convert to fraction form
    32,534.75/48,807.18 = 11,477.58/x
  3. Step 3: Cross multiply
    32,534.75x = 48,807.18 × 11,477.58
  4. Step 4: Simplify right side
    32,534.75x = 560,188,313.02
  5. Step 5: Solve for x
    x = 560,188,313.02/32,534.75
  6. Step 6: Final answer
    x = 17,218.16

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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.