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Finding the Fourth Proportional to 74,416.14, 102,695.22 and 40,424.76

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Solution

The fourth proportional to 74,416.14, 102,695.22 and 40,424.76 is: 55,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,416.14 : 102,695.22 = 40,424.76 : x
  2. Step 2: Convert to fraction form
    74,416.14/102,695.22 = 40,424.76/x
  3. Step 3: Cross multiply
    74,416.14x = 102,695.22 × 40,424.76
  4. Step 4: Simplify right side
    74,416.14x = 4,151,429,621.65
  5. Step 5: Solve for x
    x = 4,151,429,621.65/74,416.14
  6. Step 6: Final answer
    x = 55,786.68

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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.