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Finding the Fourth Proportional to 30,857.46, 42,583.37 and 16,710.30

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Solution

The fourth proportional to 30,857.46, 42,583.37 and 16,710.30 is: 23,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.46 : 42,583.37 = 16,710.30 : x
  2. Step 2: Convert to fraction form
    30,857.46/42,583.37 = 16,710.30/x
  3. Step 3: Cross multiply
    30,857.46x = 42,583.37 × 16,710.30
  4. Step 4: Simplify right side
    30,857.46x = 711,580,804.16
  5. Step 5: Solve for x
    x = 711,580,804.16/30,857.46
  6. Step 6: Final answer
    x = 23,060.25

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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.