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Finding the Fourth Proportional to 30,162.48, 41,678.40 and 23,465.52

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Solution

The fourth proportional to 30,162.48, 41,678.40 and 23,465.52 is: 32,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162.48 : 41,678.40 = 23,465.52 : x
  2. Step 2: Convert to fraction form
    30,162.48/41,678.40 = 23,465.52/x
  3. Step 3: Cross multiply
    30,162.48x = 41,678.40 × 23,465.52
  4. Step 4: Simplify right side
    30,162.48x = 978,005,328.77
  5. Step 5: Solve for x
    x = 978,005,328.77/30,162.48
  6. Step 6: Final answer
    x = 32,424.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.