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Finding the Fourth Proportional to 30,783, 42,480.54 and 22,406.52

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Solution

The fourth proportional to 30,783, 42,480.54 and 22,406.52 is: 30,921.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783 : 42,480.54 = 22,406.52 : x
  2. Step 2: Convert to fraction form
    30,783/42,480.54 = 22,406.52/x
  3. Step 3: Cross multiply
    30,783x = 42,480.54 × 22,406.52
  4. Step 4: Simplify right side
    30,783x = 951,841,069.12
  5. Step 5: Solve for x
    x = 951,841,069.12/30,783
  6. Step 6: Final answer
    x = 30,921.00

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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.