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Finding the Fourth Proportional to 74,287.49, 102,491.80 and 42,433.83

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Solution

The fourth proportional to 74,287.49, 102,491.80 and 42,433.83 is: 58,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,287.49 : 102,491.80 = 42,433.83 : x
  2. Step 2: Convert to fraction form
    74,287.49/102,491.80 = 42,433.83/x
  3. Step 3: Cross multiply
    74,287.49x = 102,491.80 × 42,433.83
  4. Step 4: Simplify right side
    74,287.49x = 4,349,119,511.51
  5. Step 5: Solve for x
    x = 4,349,119,511.51/74,287.49
  6. Step 6: Final answer
    x = 58,544.44

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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.