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Finding the Fourth Proportional to 114,895.94, 172,305.63 and 48,323.66

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Solution

The fourth proportional to 114,895.94, 172,305.63 and 48,323.66 is: 72,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,895.94 : 172,305.63 = 48,323.66 : x
  2. Step 2: Convert to fraction form
    114,895.94/172,305.63 = 48,323.66/x
  3. Step 3: Cross multiply
    114,895.94x = 172,305.63 × 48,323.66
  4. Step 4: Simplify right side
    114,895.94x = 8,326,437,818.68
  5. Step 5: Solve for x
    x = 8,326,437,818.68/114,895.94
  6. Step 6: Final answer
    x = 72,469.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.