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Finding the Fourth Proportional to 30,569.31, 45,832.23 and 11,833.53

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Solution

The fourth proportional to 30,569.31, 45,832.23 and 11,833.53 is: 17,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,569.31 : 45,832.23 = 11,833.53 : x
  2. Step 2: Convert to fraction form
    30,569.31/45,832.23 = 11,833.53/x
  3. Step 3: Cross multiply
    30,569.31x = 45,832.23 × 11,833.53
  4. Step 4: Simplify right side
    30,569.31x = 542,357,068.67
  5. Step 5: Solve for x
    x = 542,357,068.67/30,569.31
  6. Step 6: Final answer
    x = 17,741.88

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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.