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Finding the Fourth Proportional to 98,809.40, 148,213.61 and 23,929.54

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Solution

The fourth proportional to 98,809.40, 148,213.61 and 23,929.54 is: 35,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,809.40 : 148,213.61 = 23,929.54 : x
  2. Step 2: Convert to fraction form
    98,809.40/148,213.61 = 23,929.54/x
  3. Step 3: Cross multiply
    98,809.40x = 148,213.61 × 23,929.54
  4. Step 4: Simplify right side
    98,809.40x = 3,546,683,331.74
  5. Step 5: Solve for x
    x = 3,546,683,331.74/98,809.40
  6. Step 6: Final answer
    x = 35,894.19

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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.