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Finding the Fourth Proportional to 101,709.57, 152,564.36 and 39,380.07

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Solution

The fourth proportional to 101,709.57, 152,564.36 and 39,380.07 is: 59,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,709.57 : 152,564.36 = 39,380.07 : x
  2. Step 2: Convert to fraction form
    101,709.57/152,564.36 = 39,380.07/x
  3. Step 3: Cross multiply
    101,709.57x = 152,564.36 × 39,380.07
  4. Step 4: Simplify right side
    101,709.57x = 6,007,995,176.31
  5. Step 5: Solve for x
    x = 6,007,995,176.31/101,709.57
  6. Step 6: Final answer
    x = 59,070.11

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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.