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Finding the Fourth Proportional to 51,014.92, 70,376.70 and 34,014.64

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Solution

The fourth proportional to 51,014.92, 70,376.70 and 34,014.64 is: 46,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,014.92 : 70,376.70 = 34,014.64 : x
  2. Step 2: Convert to fraction form
    51,014.92/70,376.70 = 34,014.64/x
  3. Step 3: Cross multiply
    51,014.92x = 70,376.70 × 34,014.64
  4. Step 4: Simplify right side
    51,014.92x = 2,393,838,114.89
  5. Step 5: Solve for x
    x = 2,393,838,114.89/51,014.92
  6. Step 6: Final answer
    x = 46,924.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.