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Finding the Fourth Proportional to 98,933.29, 148,398.59 and 24,053.22

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Solution

The fourth proportional to 98,933.29, 148,398.59 and 24,053.22 is: 36,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,933.29 : 148,398.59 = 24,053.22 : x
  2. Step 2: Convert to fraction form
    98,933.29/148,398.59 = 24,053.22/x
  3. Step 3: Cross multiply
    98,933.29x = 148,398.59 × 24,053.22
  4. Step 4: Simplify right side
    98,933.29x = 3,569,463,993.09
  5. Step 5: Solve for x
    x = 3,569,463,993.09/98,933.29
  6. Step 6: Final answer
    x = 36,079.50

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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.