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Finding the Fourth Proportional to 58,454.40, 87,696 and 16,905.60

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Solution

The fourth proportional to 58,454.40, 87,696 and 16,905.60 is: 25,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,454.40 : 87,696 = 16,905.60 : x
  2. Step 2: Convert to fraction form
    58,454.40/87,696 = 16,905.60/x
  3. Step 3: Cross multiply
    58,454.40x = 87,696 × 16,905.60
  4. Step 4: Simplify right side
    58,454.40x = 1,482,553,497.60
  5. Step 5: Solve for x
    x = 1,482,553,497.60/58,454.40
  6. Step 6: Final answer
    x = 25,362.56

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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.