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Finding the Fourth Proportional to 40,525.48, 55,927.98 and 22,624

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Solution

The fourth proportional to 40,525.48, 55,927.98 and 22,624 is: 31,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,525.48 : 55,927.98 = 22,624 : x
  2. Step 2: Convert to fraction form
    40,525.48/55,927.98 = 22,624/x
  3. Step 3: Cross multiply
    40,525.48x = 55,927.98 × 22,624
  4. Step 4: Simplify right side
    40,525.48x = 1,265,314,619.52
  5. Step 5: Solve for x
    x = 1,265,314,619.52/40,525.48
  6. Step 6: Final answer
    x = 31,222.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.