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Finding the Fourth Proportional to 46,262.38, 63,842.28 and 27,398.28

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Solution

The fourth proportional to 46,262.38, 63,842.28 and 27,398.28 is: 37,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,262.38 : 63,842.28 = 27,398.28 : x
  2. Step 2: Convert to fraction form
    46,262.38/63,842.28 = 27,398.28/x
  3. Step 3: Cross multiply
    46,262.38x = 63,842.28 × 27,398.28
  4. Step 4: Simplify right side
    46,262.38x = 1,749,168,663.28
  5. Step 5: Solve for x
    x = 1,749,168,663.28/46,262.38
  6. Step 6: Final answer
    x = 37,809.74

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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.