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Finding the Fourth Proportional to 98,796, 148,194.24 and 24,924

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Solution

The fourth proportional to 98,796, 148,194.24 and 24,924 is: 37,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,796 : 148,194.24 = 24,924 : x
  2. Step 2: Convert to fraction form
    98,796/148,194.24 = 24,924/x
  3. Step 3: Cross multiply
    98,796x = 148,194.24 × 24,924
  4. Step 4: Simplify right side
    98,796x = 3,693,593,237.76
  5. Step 5: Solve for x
    x = 3,693,593,237.76/98,796
  6. Step 6: Final answer
    x = 37,386.06

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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.