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Finding the Fourth Proportional to 30,290.21, 45,437.13 and 9,513.71

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Solution

The fourth proportional to 30,290.21, 45,437.13 and 9,513.71 is: 14,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290.21 : 45,437.13 = 9,513.71 : x
  2. Step 2: Convert to fraction form
    30,290.21/45,437.13 = 9,513.71/x
  3. Step 3: Cross multiply
    30,290.21x = 45,437.13 × 9,513.71
  4. Step 4: Simplify right side
    30,290.21x = 432,275,678.05
  5. Step 5: Solve for x
    x = 432,275,678.05/30,290.21
  6. Step 6: Final answer
    x = 14,271.14

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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.