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Finding the Fourth Proportional to 30,004, 44,975.28 and 12,484

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Solution

The fourth proportional to 30,004, 44,975.28 and 12,484 is: 18,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,004 : 44,975.28 = 12,484 : x
  2. Step 2: Convert to fraction form
    30,004/44,975.28 = 12,484/x
  3. Step 3: Cross multiply
    30,004x = 44,975.28 × 12,484
  4. Step 4: Simplify right side
    30,004x = 561,471,395.52
  5. Step 5: Solve for x
    x = 561,471,395.52/30,004
  6. Step 6: Final answer
    x = 18,713.22

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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.