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Finding the Fourth Proportional to 46,731.62, 70,070.50 and 31,958.44

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Solution

The fourth proportional to 46,731.62, 70,070.50 and 31,958.44 is: 47,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,731.62 : 70,070.50 = 31,958.44 : x
  2. Step 2: Convert to fraction form
    46,731.62/70,070.50 = 31,958.44/x
  3. Step 3: Cross multiply
    46,731.62x = 70,070.50 × 31,958.44
  4. Step 4: Simplify right side
    46,731.62x = 2,239,343,870.02
  5. Step 5: Solve for x
    x = 2,239,343,870.02/46,731.62
  6. Step 6: Final answer
    x = 47,919.24

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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.