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Finding the Fourth Proportional to 46,578.25, 64,294.19 and 27,714.97

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Solution

The fourth proportional to 46,578.25, 64,294.19 and 27,714.97 is: 38,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,578.25 : 64,294.19 = 27,714.97 : x
  2. Step 2: Convert to fraction form
    46,578.25/64,294.19 = 27,714.97/x
  3. Step 3: Cross multiply
    46,578.25x = 64,294.19 × 27,714.97
  4. Step 4: Simplify right side
    46,578.25x = 1,781,911,547.02
  5. Step 5: Solve for x
    x = 1,781,911,547.02/46,578.25
  6. Step 6: Final answer
    x = 38,256.30

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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.