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Finding the Fourth Proportional to 52,588, 72,571.76 and 30,232.16

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Solution

The fourth proportional to 52,588, 72,571.76 and 30,232.16 is: 41,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,588 : 72,571.76 = 30,232.16 : x
  2. Step 2: Convert to fraction form
    52,588/72,571.76 = 30,232.16/x
  3. Step 3: Cross multiply
    52,588x = 72,571.76 × 30,232.16
  4. Step 4: Simplify right side
    52,588x = 2,194,001,059.80
  5. Step 5: Solve for x
    x = 2,194,001,059.80/52,588
  6. Step 6: Final answer
    x = 41,720.56

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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.