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Finding the Fourth Proportional to 30,449.14, 45,646.03 and 11,717.23

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Solution

The fourth proportional to 30,449.14, 45,646.03 and 11,717.23 is: 17,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,449.14 : 45,646.03 = 11,717.23 : x
  2. Step 2: Convert to fraction form
    30,449.14/45,646.03 = 11,717.23/x
  3. Step 3: Cross multiply
    30,449.14x = 45,646.03 × 11,717.23
  4. Step 4: Simplify right side
    30,449.14x = 534,845,032.10
  5. Step 5: Solve for x
    x = 534,845,032.10/30,449.14
  6. Step 6: Final answer
    x = 17,565.19

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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.