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Finding the Fourth Proportional to 30,065.10, 45,098.16 and 9,000.24

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Solution

The fourth proportional to 30,065.10, 45,098.16 and 9,000.24 is: 13,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,065.10 : 45,098.16 = 9,000.24 : x
  2. Step 2: Convert to fraction form
    30,065.10/45,098.16 = 9,000.24/x
  3. Step 3: Cross multiply
    30,065.10x = 45,098.16 × 9,000.24
  4. Step 4: Simplify right side
    30,065.10x = 405,894,263.56
  5. Step 5: Solve for x
    x = 405,894,263.56/30,065.10
  6. Step 6: Final answer
    x = 13,500.51

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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.