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Finding the Fourth Proportional to 30,388.12, 45,583.80 and 9,610

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Solution

The fourth proportional to 30,388.12, 45,583.80 and 9,610 is: 14,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,388.12 : 45,583.80 = 9,610 : x
  2. Step 2: Convert to fraction form
    30,388.12/45,583.80 = 9,610/x
  3. Step 3: Cross multiply
    30,388.12x = 45,583.80 × 9,610
  4. Step 4: Simplify right side
    30,388.12x = 438,060,318
  5. Step 5: Solve for x
    x = 438,060,318/30,388.12
  6. Step 6: Final answer
    x = 14,415.51

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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.