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Finding the Fourth Proportional to 30,177.76, 41,646.28 and 16,750

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Solution

The fourth proportional to 30,177.76, 41,646.28 and 16,750 is: 23,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177.76 : 41,646.28 = 16,750 : x
  2. Step 2: Convert to fraction form
    30,177.76/41,646.28 = 16,750/x
  3. Step 3: Cross multiply
    30,177.76x = 41,646.28 × 16,750
  4. Step 4: Simplify right side
    30,177.76x = 697,575,190
  5. Step 5: Solve for x
    x = 697,575,190/30,177.76
  6. Step 6: Final answer
    x = 23,115.54

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