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Finding the Fourth Proportional to 30,174.95, 41,642.84 and 16,746.30

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Solution

The fourth proportional to 30,174.95, 41,642.84 and 16,746.30 is: 23,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,174.95 : 41,642.84 = 16,746.30 : x
  2. Step 2: Convert to fraction form
    30,174.95/41,642.84 = 16,746.30/x
  3. Step 3: Cross multiply
    30,174.95x = 41,642.84 × 16,746.30
  4. Step 4: Simplify right side
    30,174.95x = 697,363,407.76
  5. Step 5: Solve for x
    x = 697,363,407.76/30,174.95
  6. Step 6: Final answer
    x = 23,110.68

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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.