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Finding the Fourth Proportional to 49,000, 73,503.36 and 19,417.80

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Solution

The fourth proportional to 49,000, 73,503.36 and 19,417.80 is: 29,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,000 : 73,503.36 = 19,417.80 : x
  2. Step 2: Convert to fraction form
    49,000/73,503.36 = 19,417.80/x
  3. Step 3: Cross multiply
    49,000x = 73,503.36 × 19,417.80
  4. Step 4: Simplify right side
    49,000x = 1,427,273,543.81
  5. Step 5: Solve for x
    x = 1,427,273,543.81/49,000
  6. Step 6: Final answer
    x = 29,128.03

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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.