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Finding the Fourth Proportional to 47,594.90, 65,684.86 and 26,381

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Solution

The fourth proportional to 47,594.90, 65,684.86 and 26,381 is: 36,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,594.90 : 65,684.86 = 26,381 : x
  2. Step 2: Convert to fraction form
    47,594.90/65,684.86 = 26,381/x
  3. Step 3: Cross multiply
    47,594.90x = 65,684.86 × 26,381
  4. Step 4: Simplify right side
    47,594.90x = 1,732,832,291.66
  5. Step 5: Solve for x
    x = 1,732,832,291.66/47,594.90
  6. Step 6: Final answer
    x = 36,407.94

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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.