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Finding the Fourth Proportional to 102,409.84, 153,683.92 and 35,850.48

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Solution

The fourth proportional to 102,409.84, 153,683.92 and 35,850.48 is: 53,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.84 : 153,683.92 = 35,850.48 : x
  2. Step 2: Convert to fraction form
    102,409.84/153,683.92 = 35,850.48/x
  3. Step 3: Cross multiply
    102,409.84x = 153,683.92 × 35,850.48
  4. Step 4: Simplify right side
    102,409.84x = 5,509,642,300.28
  5. Step 5: Solve for x
    x = 5,509,642,300.28/102,409.84
  6. Step 6: Final answer
    x = 53,799.93

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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.