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Finding the Fourth Proportional to 30,285.60, 45,441 and 13,634.16

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Solution

The fourth proportional to 30,285.60, 45,441 and 13,634.16 is: 20,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285.60 : 45,441 = 13,634.16 : x
  2. Step 2: Convert to fraction form
    30,285.60/45,441 = 13,634.16/x
  3. Step 3: Cross multiply
    30,285.60x = 45,441 × 13,634.16
  4. Step 4: Simplify right side
    30,285.60x = 619,549,864.56
  5. Step 5: Solve for x
    x = 619,549,864.56/30,285.60
  6. Step 6: Final answer
    x = 20,456.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.