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Finding the Fourth Proportional to 30,282.63, 45,431.25 and 9,506.13

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Solution

The fourth proportional to 30,282.63, 45,431.25 and 9,506.13 is: 14,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282.63 : 45,431.25 = 9,506.13 : x
  2. Step 2: Convert to fraction form
    30,282.63/45,431.25 = 9,506.13/x
  3. Step 3: Cross multiply
    30,282.63x = 45,431.25 × 9,506.13
  4. Step 4: Simplify right side
    30,282.63x = 431,875,368.56
  5. Step 5: Solve for x
    x = 431,875,368.56/30,282.63
  6. Step 6: Final answer
    x = 14,261.49

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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.