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Finding the Fourth Proportional to 30,820.82, 42,532.71 and 16,673.68

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Solution

The fourth proportional to 30,820.82, 42,532.71 and 16,673.68 is: 23,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.82 : 42,532.71 = 16,673.68 : x
  2. Step 2: Convert to fraction form
    30,820.82/42,532.71 = 16,673.68/x
  3. Step 3: Cross multiply
    30,820.82x = 42,532.71 × 16,673.68
  4. Step 4: Simplify right side
    30,820.82x = 709,176,796.07
  5. Step 5: Solve for x
    x = 709,176,796.07/30,820.82
  6. Step 6: Final answer
    x = 23,009.67

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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.