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Finding the Fourth Proportional to 97,770.11, 134,922.74 and 53,058.11

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Solution

The fourth proportional to 97,770.11, 134,922.74 and 53,058.11 is: 73,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,770.11 : 134,922.74 = 53,058.11 : x
  2. Step 2: Convert to fraction form
    97,770.11/134,922.74 = 53,058.11/x
  3. Step 3: Cross multiply
    97,770.11x = 134,922.74 × 53,058.11
  4. Step 4: Simplify right side
    97,770.11x = 7,158,744,640.52
  5. Step 5: Solve for x
    x = 7,158,744,640.52/97,770.11
  6. Step 6: Final answer
    x = 73,220.18

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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.