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Finding the Fourth Proportional to 30,364.16, 45,566.82 and 10,643

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Solution

The fourth proportional to 30,364.16, 45,566.82 and 10,643 is: 15,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364.16 : 45,566.82 = 10,643 : x
  2. Step 2: Convert to fraction form
    30,364.16/45,566.82 = 10,643/x
  3. Step 3: Cross multiply
    30,364.16x = 45,566.82 × 10,643
  4. Step 4: Simplify right side
    30,364.16x = 484,967,665.26
  5. Step 5: Solve for x
    x = 484,967,665.26/30,364.16
  6. Step 6: Final answer
    x = 15,971.71

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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.