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Finding the Fourth Proportional to 30,257.88, 45,386.84 and 9,483

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Solution

The fourth proportional to 30,257.88, 45,386.84 and 9,483 is: 14,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.88 : 45,386.84 = 9,483 : x
  2. Step 2: Convert to fraction form
    30,257.88/45,386.84 = 9,483/x
  3. Step 3: Cross multiply
    30,257.88x = 45,386.84 × 9,483
  4. Step 4: Simplify right side
    30,257.88x = 430,403,403.72
  5. Step 5: Solve for x
    x = 430,403,403.72/30,257.88
  6. Step 6: Final answer
    x = 14,224.51

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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.