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Finding the Fourth Proportional to 30,820.80, 42,532.56 and 16,673.52

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Solution

The fourth proportional to 30,820.80, 42,532.56 and 16,673.52 is: 23,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.80 : 42,532.56 = 16,673.52 : x
  2. Step 2: Convert to fraction form
    30,820.80/42,532.56 = 16,673.52/x
  3. Step 3: Cross multiply
    30,820.80x = 42,532.56 × 16,673.52
  4. Step 4: Simplify right side
    30,820.80x = 709,167,489.81
  5. Step 5: Solve for x
    x = 709,167,489.81/30,820.80
  6. Step 6: Final answer
    x = 23,009.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.