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Finding the Fourth Proportional to 34,237.60, 51,363.60 and 19,434.40

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Solution

The fourth proportional to 34,237.60, 51,363.60 and 19,434.40 is: 29,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,237.60 : 51,363.60 = 19,434.40 : x
  2. Step 2: Convert to fraction form
    34,237.60/51,363.60 = 19,434.40/x
  3. Step 3: Cross multiply
    34,237.60x = 51,363.60 × 19,434.40
  4. Step 4: Simplify right side
    34,237.60x = 998,220,747.84
  5. Step 5: Solve for x
    x = 998,220,747.84/34,237.60
  6. Step 6: Final answer
    x = 29,155.69

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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.