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Finding the Fourth Proportional to 101,794.10, 152,657.71 and 34,308.03

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Solution

The fourth proportional to 101,794.10, 152,657.71 and 34,308.03 is: 51,450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,794.10 : 152,657.71 = 34,308.03 : x
  2. Step 2: Convert to fraction form
    101,794.10/152,657.71 = 34,308.03/x
  3. Step 3: Cross multiply
    101,794.10x = 152,657.71 × 34,308.03
  4. Step 4: Simplify right side
    101,794.10x = 5,237,385,294.41
  5. Step 5: Solve for x
    x = 5,237,385,294.41/101,794.10
  6. Step 6: Final answer
    x = 51,450.77

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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.