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Finding the Fourth Proportional to 30,795.29, 42,497.36 and 16,648.13

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Solution

The fourth proportional to 30,795.29, 42,497.36 and 16,648.13 is: 22,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,795.29 : 42,497.36 = 16,648.13 : x
  2. Step 2: Convert to fraction form
    30,795.29/42,497.36 = 16,648.13/x
  3. Step 3: Cross multiply
    30,795.29x = 42,497.36 × 16,648.13
  4. Step 4: Simplify right side
    30,795.29x = 707,501,659.37
  5. Step 5: Solve for x
    x = 707,501,659.37/30,795.29
  6. Step 6: Final answer
    x = 22,974.35

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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.