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Finding the Fourth Proportional to 45,937.75, 68,906.64 and 14,773

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Solution

The fourth proportional to 45,937.75, 68,906.64 and 14,773 is: 22,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,937.75 : 68,906.64 = 14,773 : x
  2. Step 2: Convert to fraction form
    45,937.75/68,906.64 = 14,773/x
  3. Step 3: Cross multiply
    45,937.75x = 68,906.64 × 14,773
  4. Step 4: Simplify right side
    45,937.75x = 1,017,957,792.72
  5. Step 5: Solve for x
    x = 1,017,957,792.72/45,937.75
  6. Step 6: Final answer
    x = 22,159.50

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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.