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Finding the Fourth Proportional to 35,475, 53,212.52 and 10,851

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Solution

The fourth proportional to 35,475, 53,212.52 and 10,851 is: 16,276.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,475 : 53,212.52 = 10,851 : x
  2. Step 2: Convert to fraction form
    35,475/53,212.52 = 10,851/x
  3. Step 3: Cross multiply
    35,475x = 53,212.52 × 10,851
  4. Step 4: Simplify right side
    35,475x = 577,409,054.52
  5. Step 5: Solve for x
    x = 577,409,054.52/35,475
  6. Step 6: Final answer
    x = 16,276.51

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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.