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Finding the Fourth Proportional to 38,571.46, 53,232.57 and 23,465.20

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Solution

The fourth proportional to 38,571.46, 53,232.57 and 23,465.20 is: 32,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,571.46 : 53,232.57 = 23,465.20 : x
  2. Step 2: Convert to fraction form
    38,571.46/53,232.57 = 23,465.20/x
  3. Step 3: Cross multiply
    38,571.46x = 53,232.57 × 23,465.20
  4. Step 4: Simplify right side
    38,571.46x = 1,249,112,901.56
  5. Step 5: Solve for x
    x = 1,249,112,901.56/38,571.46
  6. Step 6: Final answer
    x = 32,384.38

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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.