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Finding the Fourth Proportional to 32,027.99, 48,048.15 and 9,837.42

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Solution

The fourth proportional to 32,027.99, 48,048.15 and 9,837.42 is: 14,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,027.99 : 48,048.15 = 9,837.42 : x
  2. Step 2: Convert to fraction form
    32,027.99/48,048.15 = 9,837.42/x
  3. Step 3: Cross multiply
    32,027.99x = 48,048.15 × 9,837.42
  4. Step 4: Simplify right side
    32,027.99x = 472,669,831.77
  5. Step 5: Solve for x
    x = 472,669,831.77/32,027.99
  6. Step 6: Final answer
    x = 14,758.03

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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.