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Finding the Fourth Proportional to 30,852.92, 42,577.08 and 16,705.82

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Solution

The fourth proportional to 30,852.92, 42,577.08 and 16,705.82 is: 23,054.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.92 : 42,577.08 = 16,705.82 : x
  2. Step 2: Convert to fraction form
    30,852.92/42,577.08 = 16,705.82/x
  3. Step 3: Cross multiply
    30,852.92x = 42,577.08 × 16,705.82
  4. Step 4: Simplify right side
    30,852.92x = 711,285,034.61
  5. Step 5: Solve for x
    x = 711,285,034.61/30,852.92
  6. Step 6: Final answer
    x = 23,054.06

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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.