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Finding the Fourth Proportional to 76,312.06, 105,322.94 and 44,474.80

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Solution

The fourth proportional to 76,312.06, 105,322.94 and 44,474.80 is: 61,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,312.06 : 105,322.94 = 44,474.80 : x
  2. Step 2: Convert to fraction form
    76,312.06/105,322.94 = 44,474.80/x
  3. Step 3: Cross multiply
    76,312.06x = 105,322.94 × 44,474.80
  4. Step 4: Simplify right side
    76,312.06x = 4,684,216,691.91
  5. Step 5: Solve for x
    x = 4,684,216,691.91/76,312.06
  6. Step 6: Final answer
    x = 61,382.39

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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.