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Finding the Fourth Proportional to 97,856.50, 135,042.06 and 53,144.50

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Solution

The fourth proportional to 97,856.50, 135,042.06 and 53,144.50 is: 73,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,856.50 : 135,042.06 = 53,144.50 : x
  2. Step 2: Convert to fraction form
    97,856.50/135,042.06 = 53,144.50/x
  3. Step 3: Cross multiply
    97,856.50x = 135,042.06 × 53,144.50
  4. Step 4: Simplify right side
    97,856.50x = 7,176,742,757.67
  5. Step 5: Solve for x
    x = 7,176,742,757.67/97,856.50
  6. Step 6: Final answer
    x = 73,339.46

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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.