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Finding the Fourth Proportional to 35,748, 53,622 and 11,124

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Solution

The fourth proportional to 35,748, 53,622 and 11,124 is: 16,686

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,748 : 53,622 = 11,124 : x
  2. Step 2: Convert to fraction form
    35,748/53,622 = 11,124/x
  3. Step 3: Cross multiply
    35,748x = 53,622 × 11,124
  4. Step 4: Simplify right side
    35,748x = 596,491,128
  5. Step 5: Solve for x
    x = 596,491,128/35,748
  6. Step 6: Final answer
    x = 16,686

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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.