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Finding the Fourth Proportional to 40,085.84, 55,313.72 and 22,178.48

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Solution

The fourth proportional to 40,085.84, 55,313.72 and 22,178.48 is: 30,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,085.84 : 55,313.72 = 22,178.48 : x
  2. Step 2: Convert to fraction form
    40,085.84/55,313.72 = 22,178.48/x
  3. Step 3: Cross multiply
    40,085.84x = 55,313.72 × 22,178.48
  4. Step 4: Simplify right side
    40,085.84x = 1,226,774,232.75
  5. Step 5: Solve for x
    x = 1,226,774,232.75/40,085.84
  6. Step 6: Final answer
    x = 30,603.68

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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.