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Finding the Fourth Proportional to 34,270.40, 51,290.40 and 23,902.40

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Solution

The fourth proportional to 34,270.40, 51,290.40 and 23,902.40 is: 35,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,270.40 : 51,290.40 = 23,902.40 : x
  2. Step 2: Convert to fraction form
    34,270.40/51,290.40 = 23,902.40/x
  3. Step 3: Cross multiply
    34,270.40x = 51,290.40 × 23,902.40
  4. Step 4: Simplify right side
    34,270.40x = 1,225,963,656.96
  5. Step 5: Solve for x
    x = 1,225,963,656.96/34,270.40
  6. Step 6: Final answer
    x = 35,773.25

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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.