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Finding the Fourth Proportional to 77,267.72, 115,751.21 and 56,967.50

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Solution

The fourth proportional to 77,267.72, 115,751.21 and 56,967.50 is: 85,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,267.72 : 115,751.21 = 56,967.50 : x
  2. Step 2: Convert to fraction form
    77,267.72/115,751.21 = 56,967.50/x
  3. Step 3: Cross multiply
    77,267.72x = 115,751.21 × 56,967.50
  4. Step 4: Simplify right side
    77,267.72x = 6,594,056,192.08
  5. Step 5: Solve for x
    x = 6,594,056,192.08/77,267.72
  6. Step 6: Final answer
    x = 85,340.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.