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Finding the Fourth Proportional to 102,388.41, 153,590.40 and 34,899.48

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Solution

The fourth proportional to 102,388.41, 153,590.40 and 34,899.48 is: 52,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,388.41 : 153,590.40 = 34,899.48 : x
  2. Step 2: Convert to fraction form
    102,388.41/153,590.40 = 34,899.48/x
  3. Step 3: Cross multiply
    102,388.41x = 153,590.40 × 34,899.48
  4. Step 4: Simplify right side
    102,388.41x = 5,360,225,092.99
  5. Step 5: Solve for x
    x = 5,360,225,092.99/102,388.41
  6. Step 6: Final answer
    x = 52,351.87

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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.