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Finding the Fourth Proportional to 29,383, 44,074.50 and 7,495

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Solution

The fourth proportional to 29,383, 44,074.50 and 7,495 is: 11,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,383 : 44,074.50 = 7,495 : x
  2. Step 2: Convert to fraction form
    29,383/44,074.50 = 7,495/x
  3. Step 3: Cross multiply
    29,383x = 44,074.50 × 7,495
  4. Step 4: Simplify right side
    29,383x = 330,338,377.50
  5. Step 5: Solve for x
    x = 330,338,377.50/29,383
  6. Step 6: Final answer
    x = 11,242.50

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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.