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Finding the Fourth Proportional to 30,291.50, 45,437.66 and 9,515

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Solution

The fourth proportional to 30,291.50, 45,437.66 and 9,515 is: 14,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.50 : 45,437.66 = 9,515 : x
  2. Step 2: Convert to fraction form
    30,291.50/45,437.66 = 9,515/x
  3. Step 3: Cross multiply
    30,291.50x = 45,437.66 × 9,515
  4. Step 4: Simplify right side
    30,291.50x = 432,339,334.90
  5. Step 5: Solve for x
    x = 432,339,334.90/30,291.50
  6. Step 6: Final answer
    x = 14,272.63

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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.