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Finding the Fourth Proportional to 30,462.16, 45,697 and 14,868

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Solution

The fourth proportional to 30,462.16, 45,697 and 14,868 is: 22,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.16 : 45,697 = 14,868 : x
  2. Step 2: Convert to fraction form
    30,462.16/45,697 = 14,868/x
  3. Step 3: Cross multiply
    30,462.16x = 45,697 × 14,868
  4. Step 4: Simplify right side
    30,462.16x = 679,422,996
  5. Step 5: Solve for x
    x = 679,422,996/30,462.16
  6. Step 6: Final answer
    x = 22,303.84

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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.