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Finding the Fourth Proportional to 30,530.53, 45,778.14 and 9,464.98

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Solution

The fourth proportional to 30,530.53, 45,778.14 and 9,464.98 is: 14,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.53 : 45,778.14 = 9,464.98 : x
  2. Step 2: Convert to fraction form
    30,530.53/45,778.14 = 9,464.98/x
  3. Step 3: Cross multiply
    30,530.53x = 45,778.14 × 9,464.98
  4. Step 4: Simplify right side
    30,530.53x = 433,289,179.54
  5. Step 5: Solve for x
    x = 433,289,179.54/30,530.53
  6. Step 6: Final answer
    x = 14,192.00

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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.