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Finding the Fourth Proportional to 46,978.38, 64,833.21 and 26,565.57

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Solution

The fourth proportional to 46,978.38, 64,833.21 and 26,565.57 is: 36,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.38 : 64,833.21 = 26,565.57 : x
  2. Step 2: Convert to fraction form
    46,978.38/64,833.21 = 26,565.57/x
  3. Step 3: Cross multiply
    46,978.38x = 64,833.21 × 26,565.57
  4. Step 4: Simplify right side
    46,978.38x = 1,722,331,178.58
  5. Step 5: Solve for x
    x = 1,722,331,178.58/46,978.38
  6. Step 6: Final answer
    x = 36,662.21

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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.