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Finding the Fourth Proportional to 97,937.48, 135,153.78 and 53,225.48

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Solution

The fourth proportional to 97,937.48, 135,153.78 and 53,225.48 is: 73,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,937.48 : 135,153.78 = 53,225.48 : x
  2. Step 2: Convert to fraction form
    97,937.48/135,153.78 = 53,225.48/x
  3. Step 3: Cross multiply
    97,937.48x = 135,153.78 × 53,225.48
  4. Step 4: Simplify right side
    97,937.48x = 7,193,624,814.31
  5. Step 5: Solve for x
    x = 7,193,624,814.31/97,937.48
  6. Step 6: Final answer
    x = 73,451.19

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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.