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Finding the Fourth Proportional to 98,752, 148,128 and 24,880

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Solution

The fourth proportional to 98,752, 148,128 and 24,880 is: 37,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,752 : 148,128 = 24,880 : x
  2. Step 2: Convert to fraction form
    98,752/148,128 = 24,880/x
  3. Step 3: Cross multiply
    98,752x = 148,128 × 24,880
  4. Step 4: Simplify right side
    98,752x = 3,685,424,640
  5. Step 5: Solve for x
    x = 3,685,424,640/98,752
  6. Step 6: Final answer
    x = 37,320

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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.