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Finding the Fourth Proportional to 76,972.35, 106,295.20 and 72,779.01

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Solution

The fourth proportional to 76,972.35, 106,295.20 and 72,779.01 is: 100,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,972.35 : 106,295.20 = 72,779.01 : x
  2. Step 2: Convert to fraction form
    76,972.35/106,295.20 = 72,779.01/x
  3. Step 3: Cross multiply
    76,972.35x = 106,295.20 × 72,779.01
  4. Step 4: Simplify right side
    76,972.35x = 7,736,059,423.75
  5. Step 5: Solve for x
    x = 7,736,059,423.75/76,972.35
  6. Step 6: Final answer
    x = 100,504.39

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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.