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Finding the Fourth Proportional to 101,328.96, 152,003.16 and 26,450.40

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Solution

The fourth proportional to 101,328.96, 152,003.16 and 26,450.40 is: 39,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,328.96 : 152,003.16 = 26,450.40 : x
  2. Step 2: Convert to fraction form
    101,328.96/152,003.16 = 26,450.40/x
  3. Step 3: Cross multiply
    101,328.96x = 152,003.16 × 26,450.40
  4. Step 4: Simplify right side
    101,328.96x = 4,020,544,383.26
  5. Step 5: Solve for x
    x = 4,020,544,383.26/101,328.96
  6. Step 6: Final answer
    x = 39,678.14

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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.