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Finding the Fourth Proportional to 30,165.36, 45,254.40 and 9,103.56

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Solution

The fourth proportional to 30,165.36, 45,254.40 and 9,103.56 is: 13,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165.36 : 45,254.40 = 9,103.56 : x
  2. Step 2: Convert to fraction form
    30,165.36/45,254.40 = 9,103.56/x
  3. Step 3: Cross multiply
    30,165.36x = 45,254.40 × 9,103.56
  4. Step 4: Simplify right side
    30,165.36x = 411,976,145.66
  5. Step 5: Solve for x
    x = 411,976,145.66/30,165.36
  6. Step 6: Final answer
    x = 13,657.26

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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.