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Finding the Fourth Proportional to 30,186.46, 45,269.42 and 10,460.42

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Solution

The fourth proportional to 30,186.46, 45,269.42 and 10,460.42 is: 15,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186.46 : 45,269.42 = 10,460.42 : x
  2. Step 2: Convert to fraction form
    30,186.46/45,269.42 = 10,460.42/x
  3. Step 3: Cross multiply
    30,186.46x = 45,269.42 × 10,460.42
  4. Step 4: Simplify right side
    30,186.46x = 473,537,146.36
  5. Step 5: Solve for x
    x = 473,537,146.36/30,186.46
  6. Step 6: Final answer
    x = 15,687.07

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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.