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Finding the Fourth Proportional to 97,232, 134,180.26 and 52,520

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Solution

The fourth proportional to 97,232, 134,180.26 and 52,520 is: 72,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,232 : 134,180.26 = 52,520 : x
  2. Step 2: Convert to fraction form
    97,232/134,180.26 = 52,520/x
  3. Step 3: Cross multiply
    97,232x = 134,180.26 × 52,520
  4. Step 4: Simplify right side
    97,232x = 7,047,147,255.20
  5. Step 5: Solve for x
    x = 7,047,147,255.20/97,232
  6. Step 6: Final answer
    x = 72,477.65

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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.