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Finding the Fourth Proportional to 35,372, 53,058.36 and 10,748

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Solution

The fourth proportional to 35,372, 53,058.36 and 10,748 is: 16,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,372 : 53,058.36 = 10,748 : x
  2. Step 2: Convert to fraction form
    35,372/53,058.36 = 10,748/x
  3. Step 3: Cross multiply
    35,372x = 53,058.36 × 10,748
  4. Step 4: Simplify right side
    35,372x = 570,271,253.28
  5. Step 5: Solve for x
    x = 570,271,253.28/35,372
  6. Step 6: Final answer
    x = 16,122.11

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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.