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Finding the Fourth Proportional to 65,007, 97,510.50 and 15,759

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Solution

The fourth proportional to 65,007, 97,510.50 and 15,759 is: 23,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,007 : 97,510.50 = 15,759 : x
  2. Step 2: Convert to fraction form
    65,007/97,510.50 = 15,759/x
  3. Step 3: Cross multiply
    65,007x = 97,510.50 × 15,759
  4. Step 4: Simplify right side
    65,007x = 1,536,667,969.50
  5. Step 5: Solve for x
    x = 1,536,667,969.50/65,007
  6. Step 6: Final answer
    x = 23,638.50

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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.