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Finding the Fourth Proportional to 30,114.29, 45,177.91 and 9,052.58

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Solution

The fourth proportional to 30,114.29, 45,177.91 and 9,052.58 is: 13,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.29 : 45,177.91 = 9,052.58 : x
  2. Step 2: Convert to fraction form
    30,114.29/45,177.91 = 9,052.58/x
  3. Step 3: Cross multiply
    30,114.29x = 45,177.91 × 9,052.58
  4. Step 4: Simplify right side
    30,114.29x = 408,976,734.82
  5. Step 5: Solve for x
    x = 408,976,734.82/30,114.29
  6. Step 6: Final answer
    x = 13,580.82

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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.