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Finding the Fourth Proportional to 57,507, 86,260.50 and 15,954

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Solution

The fourth proportional to 57,507, 86,260.50 and 15,954 is: 23,931

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,507 : 86,260.50 = 15,954 : x
  2. Step 2: Convert to fraction form
    57,507/86,260.50 = 15,954/x
  3. Step 3: Cross multiply
    57,507x = 86,260.50 × 15,954
  4. Step 4: Simplify right side
    57,507x = 1,376,200,017
  5. Step 5: Solve for x
    x = 1,376,200,017/57,507
  6. Step 6: Final answer
    x = 23,931

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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.