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Finding the Fourth Proportional to 41,045, 61,567.50 and 9,880.25

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Solution

The fourth proportional to 41,045, 61,567.50 and 9,880.25 is: 14,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,045 : 61,567.50 = 9,880.25 : x
  2. Step 2: Convert to fraction form
    41,045/61,567.50 = 9,880.25/x
  3. Step 3: Cross multiply
    41,045x = 61,567.50 × 9,880.25
  4. Step 4: Simplify right side
    41,045x = 608,302,291.88
  5. Step 5: Solve for x
    x = 608,302,291.88/41,045
  6. Step 6: Final answer
    x = 14,820.38

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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.