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Finding the Fourth Proportional to 105,193.92, 157,756.80 and 35,054.40

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Solution

The fourth proportional to 105,193.92, 157,756.80 and 35,054.40 is: 52,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,193.92 : 157,756.80 = 35,054.40 : x
  2. Step 2: Convert to fraction form
    105,193.92/157,756.80 = 35,054.40/x
  3. Step 3: Cross multiply
    105,193.92x = 157,756.80 × 35,054.40
  4. Step 4: Simplify right side
    105,193.92x = 5,530,069,969.92
  5. Step 5: Solve for x
    x = 5,530,069,969.92/105,193.92
  6. Step 6: Final answer
    x = 52,570.24

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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.