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Finding the Fourth Proportional to 46,169.86, 63,766.95 and 31,036.28

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Solution

The fourth proportional to 46,169.86, 63,766.95 and 31,036.28 is: 42,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,169.86 : 63,766.95 = 31,036.28 : x
  2. Step 2: Convert to fraction form
    46,169.86/63,766.95 = 31,036.28/x
  3. Step 3: Cross multiply
    46,169.86x = 63,766.95 × 31,036.28
  4. Step 4: Simplify right side
    46,169.86x = 1,979,088,712.50
  5. Step 5: Solve for x
    x = 1,979,088,712.50/46,169.86
  6. Step 6: Final answer
    x = 42,865.38

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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.