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Finding the Fourth Proportional to 38,735, 58,102.50 and 9,551

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Solution

The fourth proportional to 38,735, 58,102.50 and 9,551 is: 14,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,735 : 58,102.50 = 9,551 : x
  2. Step 2: Convert to fraction form
    38,735/58,102.50 = 9,551/x
  3. Step 3: Cross multiply
    38,735x = 58,102.50 × 9,551
  4. Step 4: Simplify right side
    38,735x = 554,936,977.50
  5. Step 5: Solve for x
    x = 554,936,977.50/38,735
  6. Step 6: Final answer
    x = 14,326.50

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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.