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Finding the Fourth Proportional to 97,453.50, 134,485.84 and 52,741.50

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Solution

The fourth proportional to 97,453.50, 134,485.84 and 52,741.50 is: 72,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,453.50 : 134,485.84 = 52,741.50 : x
  2. Step 2: Convert to fraction form
    97,453.50/134,485.84 = 52,741.50/x
  3. Step 3: Cross multiply
    97,453.50x = 134,485.84 × 52,741.50
  4. Step 4: Simplify right side
    97,453.50x = 7,092,984,930.36
  5. Step 5: Solve for x
    x = 7,092,984,930.36/97,453.50
  6. Step 6: Final answer
    x = 72,783.28

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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.