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Finding the Fourth Proportional to 97,853.40, 135,027 and 57,580.20

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Solution

The fourth proportional to 97,853.40, 135,027 and 57,580.20 is: 79,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,853.40 : 135,027 = 57,580.20 : x
  2. Step 2: Convert to fraction form
    97,853.40/135,027 = 57,580.20/x
  3. Step 3: Cross multiply
    97,853.40x = 135,027 × 57,580.20
  4. Step 4: Simplify right side
    97,853.40x = 7,774,881,665.40
  5. Step 5: Solve for x
    x = 7,774,881,665.40/97,853.40
  6. Step 6: Final answer
    x = 79,454.38

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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.