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Finding the Fourth Proportional to 38,496.84, 53,096.20 and 26,580.12

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Solution

The fourth proportional to 38,496.84, 53,096.20 and 26,580.12 is: 36,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.84 : 53,096.20 = 26,580.12 : x
  2. Step 2: Convert to fraction form
    38,496.84/53,096.20 = 26,580.12/x
  3. Step 3: Cross multiply
    38,496.84x = 53,096.20 × 26,580.12
  4. Step 4: Simplify right side
    38,496.84x = 1,411,303,367.54
  5. Step 5: Solve for x
    x = 1,411,303,367.54/38,496.84
  6. Step 6: Final answer
    x = 36,660.24

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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.