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Finding the Fourth Proportional to 35,392, 53,088 and 10,768

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Solution

The fourth proportional to 35,392, 53,088 and 10,768 is: 16,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,392 : 53,088 = 10,768 : x
  2. Step 2: Convert to fraction form
    35,392/53,088 = 10,768/x
  3. Step 3: Cross multiply
    35,392x = 53,088 × 10,768
  4. Step 4: Simplify right side
    35,392x = 571,651,584
  5. Step 5: Solve for x
    x = 571,651,584/35,392
  6. Step 6: Final answer
    x = 16,152

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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.