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Finding the Fourth Proportional to 58,648, 87,972 and 25,816

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Solution

The fourth proportional to 58,648, 87,972 and 25,816 is: 38,724

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,648 : 87,972 = 25,816 : x
  2. Step 2: Convert to fraction form
    58,648/87,972 = 25,816/x
  3. Step 3: Cross multiply
    58,648x = 87,972 × 25,816
  4. Step 4: Simplify right side
    58,648x = 2,271,085,152
  5. Step 5: Solve for x
    x = 2,271,085,152/58,648
  6. Step 6: Final answer
    x = 38,724

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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.