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Finding the Fourth Proportional to 97,612, 134,704.56 and 52,900

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Solution

The fourth proportional to 97,612, 134,704.56 and 52,900 is: 73,002

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,612 : 134,704.56 = 52,900 : x
  2. Step 2: Convert to fraction form
    97,612/134,704.56 = 52,900/x
  3. Step 3: Cross multiply
    97,612x = 134,704.56 × 52,900
  4. Step 4: Simplify right side
    97,612x = 7,125,871,224
  5. Step 5: Solve for x
    x = 7,125,871,224/97,612
  6. Step 6: Final answer
    x = 73,002

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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.