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Finding the Fourth Proportional to 60,160, 90,240 and 16,384

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Solution

The fourth proportional to 60,160, 90,240 and 16,384 is: 24,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,160 : 90,240 = 16,384 : x
  2. Step 2: Convert to fraction form
    60,160/90,240 = 16,384/x
  3. Step 3: Cross multiply
    60,160x = 90,240 × 16,384
  4. Step 4: Simplify right side
    60,160x = 1,478,492,160
  5. Step 5: Solve for x
    x = 1,478,492,160/60,160
  6. Step 6: Final answer
    x = 24,576

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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.