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Finding the Fourth Proportional to 110,099.64, 165,211.79 and 46,913.10

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Solution

The fourth proportional to 110,099.64, 165,211.79 and 46,913.10 is: 70,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,099.64 : 165,211.79 = 46,913.10 : x
  2. Step 2: Convert to fraction form
    110,099.64/165,211.79 = 46,913.10/x
  3. Step 3: Cross multiply
    110,099.64x = 165,211.79 × 46,913.10
  4. Step 4: Simplify right side
    110,099.64x = 7,750,597,225.45
  5. Step 5: Solve for x
    x = 7,750,597,225.45/110,099.64
  6. Step 6: Final answer
    x = 70,396.21

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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.