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Finding the Fourth Proportional to 30,592.27, 45,892.59 and 9,533.80

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Solution

The fourth proportional to 30,592.27, 45,892.59 and 9,533.80 is: 14,302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,592.27 : 45,892.59 = 9,533.80 : x
  2. Step 2: Convert to fraction form
    30,592.27/45,892.59 = 9,533.80/x
  3. Step 3: Cross multiply
    30,592.27x = 45,892.59 × 9,533.80
  4. Step 4: Simplify right side
    30,592.27x = 437,530,774.54
  5. Step 5: Solve for x
    x = 437,530,774.54/30,592.27
  6. Step 6: Final answer
    x = 14,302.00

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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.