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Finding the Fourth Proportional to 30,345.09, 45,506.07 and 9,278.70

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Solution

The fourth proportional to 30,345.09, 45,506.07 and 9,278.70 is: 13,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,345.09 : 45,506.07 = 9,278.70 : x
  2. Step 2: Convert to fraction form
    30,345.09/45,506.07 = 9,278.70/x
  3. Step 3: Cross multiply
    30,345.09x = 45,506.07 × 9,278.70
  4. Step 4: Simplify right side
    30,345.09x = 422,237,171.71
  5. Step 5: Solve for x
    x = 422,237,171.71/30,345.09
  6. Step 6: Final answer
    x = 13,914.51

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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.