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Finding the Fourth Proportional to 30,173.76, 41,640.76 and 16,746

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Solution

The fourth proportional to 30,173.76, 41,640.76 and 16,746 is: 23,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,173.76 : 41,640.76 = 16,746 : x
  2. Step 2: Convert to fraction form
    30,173.76/41,640.76 = 16,746/x
  3. Step 3: Cross multiply
    30,173.76x = 41,640.76 × 16,746
  4. Step 4: Simplify right side
    30,173.76x = 697,316,166.96
  5. Step 5: Solve for x
    x = 697,316,166.96/30,173.76
  6. Step 6: Final answer
    x = 23,110.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.