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Finding the Fourth Proportional to 101,894.90, 152,834.99 and 31,772.39

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Solution

The fourth proportional to 101,894.90, 152,834.99 and 31,772.39 is: 47,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,894.90 : 152,834.99 = 31,772.39 : x
  2. Step 2: Convert to fraction form
    101,894.90/152,834.99 = 31,772.39/x
  3. Step 3: Cross multiply
    101,894.90x = 152,834.99 × 31,772.39
  4. Step 4: Simplify right side
    101,894.90x = 4,855,931,984.89
  5. Step 5: Solve for x
    x = 4,855,931,984.89/101,894.90
  6. Step 6: Final answer
    x = 47,656.28

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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.