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Finding the Fourth Proportional to 46,542.50, 64,229.76 and 26,400.74

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Solution

The fourth proportional to 46,542.50, 64,229.76 and 26,400.74 is: 36,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,542.50 : 64,229.76 = 26,400.74 : x
  2. Step 2: Convert to fraction form
    46,542.50/64,229.76 = 26,400.74/x
  3. Step 3: Cross multiply
    46,542.50x = 64,229.76 × 26,400.74
  4. Step 4: Simplify right side
    46,542.50x = 1,695,713,062.02
  5. Step 5: Solve for x
    x = 1,695,713,062.02/46,542.50
  6. Step 6: Final answer
    x = 36,433.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.