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Finding the Fourth Proportional to 97,571.25, 134,649.14 and 52,859.25

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Solution

The fourth proportional to 97,571.25, 134,649.14 and 52,859.25 is: 72,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,571.25 : 134,649.14 = 52,859.25 : x
  2. Step 2: Convert to fraction form
    97,571.25/134,649.14 = 52,859.25/x
  3. Step 3: Cross multiply
    97,571.25x = 134,649.14 × 52,859.25
  4. Step 4: Simplify right side
    97,571.25x = 7,117,452,289.25
  5. Step 5: Solve for x
    x = 7,117,452,289.25/97,571.25
  6. Step 6: Final answer
    x = 72,946.20

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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.