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Finding the Fourth Proportional to 30,783.36, 42,475.68 and 18,203.52

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Solution

The fourth proportional to 30,783.36, 42,475.68 and 18,203.52 is: 25,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.36 : 42,475.68 = 18,203.52 : x
  2. Step 2: Convert to fraction form
    30,783.36/42,475.68 = 18,203.52/x
  3. Step 3: Cross multiply
    30,783.36x = 42,475.68 × 18,203.52
  4. Step 4: Simplify right side
    30,783.36x = 773,206,890.39
  5. Step 5: Solve for x
    x = 773,206,890.39/30,783.36
  6. Step 6: Final answer
    x = 25,117.69

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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.