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Finding the Fourth Proportional to 102,752, 154,128 and 24,928

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Solution

The fourth proportional to 102,752, 154,128 and 24,928 is: 37,392

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,752 : 154,128 = 24,928 : x
  2. Step 2: Convert to fraction form
    102,752/154,128 = 24,928/x
  3. Step 3: Cross multiply
    102,752x = 154,128 × 24,928
  4. Step 4: Simplify right side
    102,752x = 3,842,102,784
  5. Step 5: Solve for x
    x = 3,842,102,784/102,752
  6. Step 6: Final answer
    x = 37,392

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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.