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Finding the Fourth Proportional to 30,345.08, 45,506.07 and 9,278.69

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Solution

The fourth proportional to 30,345.08, 45,506.07 and 9,278.69 is: 13,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,345.08 : 45,506.07 = 9,278.69 : x
  2. Step 2: Convert to fraction form
    30,345.08/45,506.07 = 9,278.69/x
  3. Step 3: Cross multiply
    30,345.08x = 45,506.07 × 9,278.69
  4. Step 4: Simplify right side
    30,345.08x = 422,236,489.12
  5. Step 5: Solve for x
    x = 422,236,489.12/30,345.08
  6. Step 6: Final answer
    x = 13,914.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.