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Finding the Fourth Proportional to 30,772.50, 46,058.85 and 15,960.30

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Solution

The fourth proportional to 30,772.50, 46,058.85 and 15,960.30 is: 23,888.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.50 : 46,058.85 = 15,960.30 : x
  2. Step 2: Convert to fraction form
    30,772.50/46,058.85 = 15,960.30/x
  3. Step 3: Cross multiply
    30,772.50x = 46,058.85 × 15,960.30
  4. Step 4: Simplify right side
    30,772.50x = 735,113,063.66
  5. Step 5: Solve for x
    x = 735,113,063.66/30,772.50
  6. Step 6: Final answer
    x = 23,888.64

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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.