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Finding the Fourth Proportional to 30,077.29, 45,115.73 and 23,509

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Solution

The fourth proportional to 30,077.29, 45,115.73 and 23,509 is: 35,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.29 : 45,115.73 = 23,509 : x
  2. Step 2: Convert to fraction form
    30,077.29/45,115.73 = 23,509/x
  3. Step 3: Cross multiply
    30,077.29x = 45,115.73 × 23,509
  4. Step 4: Simplify right side
    30,077.29x = 1,060,625,696.57
  5. Step 5: Solve for x
    x = 1,060,625,696.57/30,077.29
  6. Step 6: Final answer
    x = 35,263.34

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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.