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Finding the Fourth Proportional to 47,307.68, 70,949.42 and 14,019.98

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Solution

The fourth proportional to 47,307.68, 70,949.42 and 14,019.98 is: 21,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,307.68 : 70,949.42 = 14,019.98 : x
  2. Step 2: Convert to fraction form
    47,307.68/70,949.42 = 14,019.98/x
  3. Step 3: Cross multiply
    47,307.68x = 70,949.42 × 14,019.98
  4. Step 4: Simplify right side
    47,307.68x = 994,709,024.56
  5. Step 5: Solve for x
    x = 994,709,024.56/47,307.68
  6. Step 6: Final answer
    x = 21,026.38

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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.