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Finding the Fourth Proportional to 74,409.72, 102,614.94 and 48,871.14

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Solution

The fourth proportional to 74,409.72, 102,614.94 and 48,871.14 is: 67,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,409.72 : 102,614.94 = 48,871.14 : x
  2. Step 2: Convert to fraction form
    74,409.72/102,614.94 = 48,871.14/x
  3. Step 3: Cross multiply
    74,409.72x = 102,614.94 × 48,871.14
  4. Step 4: Simplify right side
    74,409.72x = 5,014,909,098.83
  5. Step 5: Solve for x
    x = 5,014,909,098.83/74,409.72
  6. Step 6: Final answer
    x = 67,395.89

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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.