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Finding the Fourth Proportional to 105,022.80, 157,548.60 and 34,894.80

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Solution

The fourth proportional to 105,022.80, 157,548.60 and 34,894.80 is: 52,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,022.80 : 157,548.60 = 34,894.80 : x
  2. Step 2: Convert to fraction form
    105,022.80/157,548.60 = 34,894.80/x
  3. Step 3: Cross multiply
    105,022.80x = 157,548.60 × 34,894.80
  4. Step 4: Simplify right side
    105,022.80x = 5,497,626,887.28
  5. Step 5: Solve for x
    x = 5,497,626,887.28/105,022.80
  6. Step 6: Final answer
    x = 52,346.98

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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.