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Finding the Fourth Proportional to 30,102.23, 45,112.95 and 18,206.17

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Solution

The fourth proportional to 30,102.23, 45,112.95 and 18,206.17 is: 27,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.23 : 45,112.95 = 18,206.17 : x
  2. Step 2: Convert to fraction form
    30,102.23/45,112.95 = 18,206.17/x
  3. Step 3: Cross multiply
    30,102.23x = 45,112.95 × 18,206.17
  4. Step 4: Simplify right side
    30,102.23x = 821,333,924.12
  5. Step 5: Solve for x
    x = 821,333,924.12/30,102.23
  6. Step 6: Final answer
    x = 27,284.82

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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.