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Finding the Fourth Proportional to 97,679, 134,797.02 and 52,967

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Solution

The fourth proportional to 97,679, 134,797.02 and 52,967 is: 73,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,679 : 134,797.02 = 52,967 : x
  2. Step 2: Convert to fraction form
    97,679/134,797.02 = 52,967/x
  3. Step 3: Cross multiply
    97,679x = 134,797.02 × 52,967
  4. Step 4: Simplify right side
    97,679x = 7,139,793,758.34
  5. Step 5: Solve for x
    x = 7,139,793,758.34/97,679
  6. Step 6: Final answer
    x = 73,094.46

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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.