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Finding the Fourth Proportional to 34,486.40, 51,737.60 and 11,112

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Solution

The fourth proportional to 34,486.40, 51,737.60 and 11,112 is: 16,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,486.40 : 51,737.60 = 11,112 : x
  2. Step 2: Convert to fraction form
    34,486.40/51,737.60 = 11,112/x
  3. Step 3: Cross multiply
    34,486.40x = 51,737.60 × 11,112
  4. Step 4: Simplify right side
    34,486.40x = 574,908,211.20
  5. Step 5: Solve for x
    x = 574,908,211.20/34,486.40
  6. Step 6: Final answer
    x = 16,670.58

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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.