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Finding the Fourth Proportional to 105,027.60, 157,643.80 and 52,496.40

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Solution

The fourth proportional to 105,027.60, 157,643.80 and 52,496.40 is: 78,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,027.60 : 157,643.80 = 52,496.40 : x
  2. Step 2: Convert to fraction form
    105,027.60/157,643.80 = 52,496.40/x
  3. Step 3: Cross multiply
    105,027.60x = 157,643.80 × 52,496.40
  4. Step 4: Simplify right side
    105,027.60x = 8,275,731,982.32
  5. Step 5: Solve for x
    x = 8,275,731,982.32/105,027.60
  6. Step 6: Final answer
    x = 78,795.78

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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.