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Finding the Fourth Proportional to 35,015.52, 52,524 and 11,642.16

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Solution

The fourth proportional to 35,015.52, 52,524 and 11,642.16 is: 17,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,015.52 : 52,524 = 11,642.16 : x
  2. Step 2: Convert to fraction form
    35,015.52/52,524 = 11,642.16/x
  3. Step 3: Cross multiply
    35,015.52x = 52,524 × 11,642.16
  4. Step 4: Simplify right side
    35,015.52x = 611,492,811.84
  5. Step 5: Solve for x
    x = 611,492,811.84/35,015.52
  6. Step 6: Final answer
    x = 17,463.48

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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.