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Finding the Fourth Proportional to 30,820.78, 42,533.03 and 17,392.19

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Solution

The fourth proportional to 30,820.78, 42,533.03 and 17,392.19 is: 24,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820.78 : 42,533.03 = 17,392.19 : x
  2. Step 2: Convert to fraction form
    30,820.78/42,533.03 = 17,392.19/x
  3. Step 3: Cross multiply
    30,820.78x = 42,533.03 × 17,392.19
  4. Step 4: Simplify right side
    30,820.78x = 739,742,558.41
  5. Step 5: Solve for x
    x = 739,742,558.41/30,820.78
  6. Step 6: Final answer
    x = 24,001.42

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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.