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Finding the Fourth Proportional to 30,135.66, 45,210.17 and 9,077.28

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Solution

The fourth proportional to 30,135.66, 45,210.17 and 9,077.28 is: 13,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,135.66 : 45,210.17 = 9,077.28 : x
  2. Step 2: Convert to fraction form
    30,135.66/45,210.17 = 9,077.28/x
  3. Step 3: Cross multiply
    30,135.66x = 45,210.17 × 9,077.28
  4. Step 4: Simplify right side
    30,135.66x = 410,385,371.94
  5. Step 5: Solve for x
    x = 410,385,371.94/30,135.66
  6. Step 6: Final answer
    x = 13,617.93

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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.