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Finding the Fourth Proportional to 35,076, 52,623.12 and 10,452

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Solution

The fourth proportional to 35,076, 52,623.12 and 10,452 is: 15,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,076 : 52,623.12 = 10,452 : x
  2. Step 2: Convert to fraction form
    35,076/52,623.12 = 10,452/x
  3. Step 3: Cross multiply
    35,076x = 52,623.12 × 10,452
  4. Step 4: Simplify right side
    35,076x = 550,016,850.24
  5. Step 5: Solve for x
    x = 550,016,850.24/35,076
  6. Step 6: Final answer
    x = 15,680.72

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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.