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Finding the Fourth Proportional to 74,643.68, 111,968.76 and 27,871.04

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Solution

The fourth proportional to 74,643.68, 111,968.76 and 27,871.04 is: 41,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,643.68 : 111,968.76 = 27,871.04 : x
  2. Step 2: Convert to fraction form
    74,643.68/111,968.76 = 27,871.04/x
  3. Step 3: Cross multiply
    74,643.68x = 111,968.76 × 27,871.04
  4. Step 4: Simplify right side
    74,643.68x = 3,120,685,788.71
  5. Step 5: Solve for x
    x = 3,120,685,788.71/74,643.68
  6. Step 6: Final answer
    x = 41,807.77

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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.