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Finding the Fourth Proportional to 45,096, 62,232.64 and 25,224

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Solution

The fourth proportional to 45,096, 62,232.64 and 25,224 is: 34,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,096 : 62,232.64 = 25,224 : x
  2. Step 2: Convert to fraction form
    45,096/62,232.64 = 25,224/x
  3. Step 3: Cross multiply
    45,096x = 62,232.64 × 25,224
  4. Step 4: Simplify right side
    45,096x = 1,569,756,111.36
  5. Step 5: Solve for x
    x = 1,569,756,111.36/45,096
  6. Step 6: Final answer
    x = 34,809.21

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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.