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Finding the Fourth Proportional to 30,751.98, 46,113.39 and 15,946.08

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Solution

The fourth proportional to 30,751.98, 46,113.39 and 15,946.08 is: 23,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.98 : 46,113.39 = 15,946.08 : x
  2. Step 2: Convert to fraction form
    30,751.98/46,113.39 = 15,946.08/x
  3. Step 3: Cross multiply
    30,751.98x = 46,113.39 × 15,946.08
  4. Step 4: Simplify right side
    30,751.98x = 735,327,806.01
  5. Step 5: Solve for x
    x = 735,327,806.01/30,751.98
  6. Step 6: Final answer
    x = 23,911.56

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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.