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Finding the Fourth Proportional to 98,079, 147,120.66 and 24,207

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Solution

The fourth proportional to 98,079, 147,120.66 and 24,207 is: 36,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,079 : 147,120.66 = 24,207 : x
  2. Step 2: Convert to fraction form
    98,079/147,120.66 = 24,207/x
  3. Step 3: Cross multiply
    98,079x = 147,120.66 × 24,207
  4. Step 4: Simplify right side
    98,079x = 3,561,349,816.62
  5. Step 5: Solve for x
    x = 3,561,349,816.62/98,079
  6. Step 6: Final answer
    x = 36,311.03

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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.