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Finding the Fourth Proportional to 5,154,164.84, 7,731,237.50 and 1,367,350.04

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Solution

The fourth proportional to 5,154,164.84, 7,731,237.50 and 1,367,350.04 is: 2,051,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154,164.84 : 7,731,237.50 = 1,367,350.04 : x
  2. Step 2: Convert to fraction form
    5,154,164.84/7,731,237.50 = 1,367,350.04/x
  3. Step 3: Cross multiply
    5,154,164.84x = 7,731,237.50 × 1,367,350.04
  4. Step 4: Simplify right side
    5,154,164.84x = 10,571,307,904,874.50
  5. Step 5: Solve for x
    x = 10,571,307,904,874.50/5,154,164.84
  6. Step 6: Final answer
    x = 2,051,022.47

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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.