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Finding the Fourth Proportional to 46,711.38, 64,470.47 and 29,256.77

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Solution

The fourth proportional to 46,711.38, 64,470.47 and 29,256.77 is: 40,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,711.38 : 64,470.47 = 29,256.77 : x
  2. Step 2: Convert to fraction form
    46,711.38/64,470.47 = 29,256.77/x
  3. Step 3: Cross multiply
    46,711.38x = 64,470.47 × 29,256.77
  4. Step 4: Simplify right side
    46,711.38x = 1,886,197,243.95
  5. Step 5: Solve for x
    x = 1,886,197,243.95/46,711.38
  6. Step 6: Final answer
    x = 40,379.82

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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.