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Finding the Fourth Proportional to 71,068.50, 106,603.16 and 29,515.50

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Solution

The fourth proportional to 71,068.50, 106,603.16 and 29,515.50 is: 44,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,068.50 : 106,603.16 = 29,515.50 : x
  2. Step 2: Convert to fraction form
    71,068.50/106,603.16 = 29,515.50/x
  3. Step 3: Cross multiply
    71,068.50x = 106,603.16 × 29,515.50
  4. Step 4: Simplify right side
    71,068.50x = 3,146,445,421.40
  5. Step 5: Solve for x
    x = 3,146,445,421.40/71,068.50
  6. Step 6: Final answer
    x = 44,273.42

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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.