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Finding the Fourth Proportional to 46,902.80, 70,354.92 and 15,738.32

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Solution

The fourth proportional to 46,902.80, 70,354.92 and 15,738.32 is: 23,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,902.80 : 70,354.92 = 15,738.32 : x
  2. Step 2: Convert to fraction form
    46,902.80/70,354.92 = 15,738.32/x
  3. Step 3: Cross multiply
    46,902.80x = 70,354.92 × 15,738.32
  4. Step 4: Simplify right side
    46,902.80x = 1,107,268,244.53
  5. Step 5: Solve for x
    x = 1,107,268,244.53/46,902.80
  6. Step 6: Final answer
    x = 23,607.72

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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.