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Finding the Fourth Proportional to 32,085.14, 48,134.57 and 9,597.58

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Solution

The fourth proportional to 32,085.14, 48,134.57 and 9,597.58 is: 14,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.14 : 48,134.57 = 9,597.58 : x
  2. Step 2: Convert to fraction form
    32,085.14/48,134.57 = 9,597.58/x
  3. Step 3: Cross multiply
    32,085.14x = 48,134.57 × 9,597.58
  4. Step 4: Simplify right side
    32,085.14x = 461,975,097.68
  5. Step 5: Solve for x
    x = 461,975,097.68/32,085.14
  6. Step 6: Final answer
    x = 14,398.42

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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.