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Finding the Fourth Proportional to 32,085.92, 48,135.75 and 9,598.37

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Solution

The fourth proportional to 32,085.92, 48,135.75 and 9,598.37 is: 14,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.92 : 48,135.75 = 9,598.37 : x
  2. Step 2: Convert to fraction form
    32,085.92/48,135.75 = 9,598.37/x
  3. Step 3: Cross multiply
    32,085.92x = 48,135.75 × 9,598.37
  4. Step 4: Simplify right side
    32,085.92x = 462,024,462.05
  5. Step 5: Solve for x
    x = 462,024,462.05/32,085.92
  6. Step 6: Final answer
    x = 14,399.60

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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.