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Finding the Fourth Proportional to 30,795.66, 42,498 and 16,648.50

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Solution

The fourth proportional to 30,795.66, 42,498 and 16,648.50 is: 22,974.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,795.66 : 42,498 = 16,648.50 : x
  2. Step 2: Convert to fraction form
    30,795.66/42,498 = 16,648.50/x
  3. Step 3: Cross multiply
    30,795.66x = 42,498 × 16,648.50
  4. Step 4: Simplify right side
    30,795.66x = 707,527,953
  5. Step 5: Solve for x
    x = 707,527,953/30,795.66
  6. Step 6: Final answer
    x = 22,974.92

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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.