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Finding the Fourth Proportional to 105,970.40, 158,856.78 and 35,800.64

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Solution

The fourth proportional to 105,970.40, 158,856.78 and 35,800.64 is: 53,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,970.40 : 158,856.78 = 35,800.64 : x
  2. Step 2: Convert to fraction form
    105,970.40/158,856.78 = 35,800.64/x
  3. Step 3: Cross multiply
    105,970.40x = 158,856.78 × 35,800.64
  4. Step 4: Simplify right side
    105,970.40x = 5,687,174,392.34
  5. Step 5: Solve for x
    x = 5,687,174,392.34/105,970.40
  6. Step 6: Final answer
    x = 53,667.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.