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Finding the Fourth Proportional to 38,475, 57,730.28 and 16,293.51

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Solution

The fourth proportional to 38,475, 57,730.28 and 16,293.51 is: 24,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475 : 57,730.28 = 16,293.51 : x
  2. Step 2: Convert to fraction form
    38,475/57,730.28 = 16,293.51/x
  3. Step 3: Cross multiply
    38,475x = 57,730.28 × 16,293.51
  4. Step 4: Simplify right side
    38,475x = 940,628,813.02
  5. Step 5: Solve for x
    x = 940,628,813.02/38,475
  6. Step 6: Final answer
    x = 24,447.79

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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.