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Finding the Fourth Proportional to 30,287.13, 45,431.09 and 9,510.63

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Solution

The fourth proportional to 30,287.13, 45,431.09 and 9,510.63 is: 14,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287.13 : 45,431.09 = 9,510.63 : x
  2. Step 2: Convert to fraction form
    30,287.13/45,431.09 = 9,510.63/x
  3. Step 3: Cross multiply
    30,287.13x = 45,431.09 × 9,510.63
  4. Step 4: Simplify right side
    30,287.13x = 432,078,287.49
  5. Step 5: Solve for x
    x = 432,078,287.49/30,287.13
  6. Step 6: Final answer
    x = 14,266.07

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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.