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Finding the Fourth Proportional to 48,284.71, 72,409.24 and 16,686.71

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Solution

The fourth proportional to 48,284.71, 72,409.24 and 16,686.71 is: 25,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,284.71 : 72,409.24 = 16,686.71 : x
  2. Step 2: Convert to fraction form
    48,284.71/72,409.24 = 16,686.71/x
  3. Step 3: Cross multiply
    48,284.71x = 72,409.24 × 16,686.71
  4. Step 4: Simplify right side
    48,284.71x = 1,208,271,919.55
  5. Step 5: Solve for x
    x = 1,208,271,919.55/48,284.71
  6. Step 6: Final answer
    x = 25,023.90

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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.