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Finding the Fourth Proportional to 30,856.98, 42,582.33 and 16,709.58

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Solution

The fourth proportional to 30,856.98, 42,582.33 and 16,709.58 is: 23,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.98 : 42,582.33 = 16,709.58 : x
  2. Step 2: Convert to fraction form
    30,856.98/42,582.33 = 16,709.58/x
  3. Step 3: Cross multiply
    30,856.98x = 42,582.33 × 16,709.58
  4. Step 4: Simplify right side
    30,856.98x = 711,532,849.72
  5. Step 5: Solve for x
    x = 711,532,849.72/30,856.98
  6. Step 6: Final answer
    x = 23,059.06

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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.