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Finding the Fourth Proportional to 32,565, 48,849.58 and 9,193.26

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Solution

The fourth proportional to 32,565, 48,849.58 and 9,193.26 is: 13,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,565 : 48,849.58 = 9,193.26 : x
  2. Step 2: Convert to fraction form
    32,565/48,849.58 = 9,193.26/x
  3. Step 3: Cross multiply
    32,565x = 48,849.58 × 9,193.26
  4. Step 4: Simplify right side
    32,565x = 449,086,889.83
  5. Step 5: Solve for x
    x = 449,086,889.83/32,565
  6. Step 6: Final answer
    x = 13,790.48

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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.