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Finding the Fourth Proportional to 35,201.80, 52,802.70 and 25,409.80

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Solution

The fourth proportional to 35,201.80, 52,802.70 and 25,409.80 is: 38,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,201.80 : 52,802.70 = 25,409.80 : x
  2. Step 2: Convert to fraction form
    35,201.80/52,802.70 = 25,409.80/x
  3. Step 3: Cross multiply
    35,201.80x = 52,802.70 × 25,409.80
  4. Step 4: Simplify right side
    35,201.80x = 1,341,706,046.46
  5. Step 5: Solve for x
    x = 1,341,706,046.46/35,201.80
  6. Step 6: Final answer
    x = 38,114.70

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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.