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Finding the Fourth Proportional to 67,207, 100,810.50 and 23,431

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Solution

The fourth proportional to 67,207, 100,810.50 and 23,431 is: 35,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,207 : 100,810.50 = 23,431 : x
  2. Step 2: Convert to fraction form
    67,207/100,810.50 = 23,431/x
  3. Step 3: Cross multiply
    67,207x = 100,810.50 × 23,431
  4. Step 4: Simplify right side
    67,207x = 2,362,090,825.50
  5. Step 5: Solve for x
    x = 2,362,090,825.50/67,207
  6. Step 6: Final answer
    x = 35,146.50

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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.