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Finding the Fourth Proportional to 46,984.92, 70,479.80 and 11,924.88

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Solution

The fourth proportional to 46,984.92, 70,479.80 and 11,924.88 is: 17,887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,984.92 : 70,479.80 = 11,924.88 : x
  2. Step 2: Convert to fraction form
    46,984.92/70,479.80 = 11,924.88/x
  3. Step 3: Cross multiply
    46,984.92x = 70,479.80 × 11,924.88
  4. Step 4: Simplify right side
    46,984.92x = 840,463,157.42
  5. Step 5: Solve for x
    x = 840,463,157.42/46,984.92
  6. Step 6: Final answer
    x = 17,887.93

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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.