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Finding the Fourth Proportional to 30,032.48, 41,447.32 and 17,459.68

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Solution

The fourth proportional to 30,032.48, 41,447.32 and 17,459.68 is: 24,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032.48 : 41,447.32 = 17,459.68 : x
  2. Step 2: Convert to fraction form
    30,032.48/41,447.32 = 17,459.68/x
  3. Step 3: Cross multiply
    30,032.48x = 41,447.32 × 17,459.68
  4. Step 4: Simplify right side
    30,032.48x = 723,656,944.06
  5. Step 5: Solve for x
    x = 723,656,944.06/30,032.48
  6. Step 6: Final answer
    x = 24,095.81

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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.