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Finding the Fourth Proportional to 30,277.24, 41,746.32 and 19,663

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Solution

The fourth proportional to 30,277.24, 41,746.32 and 19,663 is: 27,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.24 : 41,746.32 = 19,663 : x
  2. Step 2: Convert to fraction form
    30,277.24/41,746.32 = 19,663/x
  3. Step 3: Cross multiply
    30,277.24x = 41,746.32 × 19,663
  4. Step 4: Simplify right side
    30,277.24x = 820,857,890.16
  5. Step 5: Solve for x
    x = 820,857,890.16/30,277.24
  6. Step 6: Final answer
    x = 27,111.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.