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Finding the Fourth Proportional to 55,896.66, 77,143.05 and 32,026.50

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Solution

The fourth proportional to 55,896.66, 77,143.05 and 32,026.50 is: 44,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,896.66 : 77,143.05 = 32,026.50 : x
  2. Step 2: Convert to fraction form
    55,896.66/77,143.05 = 32,026.50/x
  3. Step 3: Cross multiply
    55,896.66x = 77,143.05 × 32,026.50
  4. Step 4: Simplify right side
    55,896.66x = 2,470,621,890.83
  5. Step 5: Solve for x
    x = 2,470,621,890.83/55,896.66
  6. Step 6: Final answer
    x = 44,199.81

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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.