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Finding the Fourth Proportional to 78,271.63, 108,014.84 and 44,744.11

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Solution

The fourth proportional to 78,271.63, 108,014.84 and 44,744.11 is: 61,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,271.63 : 108,014.84 = 44,744.11 : x
  2. Step 2: Convert to fraction form
    78,271.63/108,014.84 = 44,744.11/x
  3. Step 3: Cross multiply
    78,271.63x = 108,014.84 × 44,744.11
  4. Step 4: Simplify right side
    78,271.63x = 4,833,027,882.59
  5. Step 5: Solve for x
    x = 4,833,027,882.59/78,271.63
  6. Step 6: Final answer
    x = 61,746.87

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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.