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Finding the Fourth Proportional to 56,224, 77,588.08 and 31,072.96

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Solution

The fourth proportional to 56,224, 77,588.08 and 31,072.96 is: 42,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,224 : 77,588.08 = 31,072.96 : x
  2. Step 2: Convert to fraction form
    56,224/77,588.08 = 31,072.96/x
  3. Step 3: Cross multiply
    56,224x = 77,588.08 × 31,072.96
  4. Step 4: Simplify right side
    56,224x = 2,410,891,306.32
  5. Step 5: Solve for x
    x = 2,410,891,306.32/56,224
  6. Step 6: Final answer
    x = 42,880.11

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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.