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Finding the Fourth Proportional to 30,083.34, 41,495.76 and 24,129.30

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Solution

The fourth proportional to 30,083.34, 41,495.76 and 24,129.30 is: 33,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083.34 : 41,495.76 = 24,129.30 : x
  2. Step 2: Convert to fraction form
    30,083.34/41,495.76 = 24,129.30/x
  3. Step 3: Cross multiply
    30,083.34x = 41,495.76 × 24,129.30
  4. Step 4: Simplify right side
    30,083.34x = 1,001,263,641.77
  5. Step 5: Solve for x
    x = 1,001,263,641.77/30,083.34
  6. Step 6: Final answer
    x = 33,282.99

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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.