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Finding the Fourth Proportional to 46,578, 64,293.84 and 27,714.72

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Solution

The fourth proportional to 46,578, 64,293.84 and 27,714.72 is: 38,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,578 : 64,293.84 = 27,714.72 : x
  2. Step 2: Convert to fraction form
    46,578/64,293.84 = 27,714.72/x
  3. Step 3: Cross multiply
    46,578x = 64,293.84 × 27,714.72
  4. Step 4: Simplify right side
    46,578x = 1,781,885,773.32
  5. Step 5: Solve for x
    x = 1,781,885,773.32/46,578
  6. Step 6: Final answer
    x = 38,255.95

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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.