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Finding the Fourth Proportional to 97,971, 135,200.94 and 53,259.96

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Solution

The fourth proportional to 97,971, 135,200.94 and 53,259.96 is: 73,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,971 : 135,200.94 = 53,259.96 : x
  2. Step 2: Convert to fraction form
    97,971/135,200.94 = 53,259.96/x
  3. Step 3: Cross multiply
    97,971x = 135,200.94 × 53,259.96
  4. Step 4: Simplify right side
    97,971x = 7,200,796,656.36
  5. Step 5: Solve for x
    x = 7,200,796,656.36/97,971
  6. Step 6: Final answer
    x = 73,499.27

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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.