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Finding the Fourth Proportional to 47,348.44, 70,995.06 and 19,282

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Solution

The fourth proportional to 47,348.44, 70,995.06 and 19,282 is: 28,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,348.44 : 70,995.06 = 19,282 : x
  2. Step 2: Convert to fraction form
    47,348.44/70,995.06 = 19,282/x
  3. Step 3: Cross multiply
    47,348.44x = 70,995.06 × 19,282
  4. Step 4: Simplify right side
    47,348.44x = 1,368,926,746.92
  5. Step 5: Solve for x
    x = 1,368,926,746.92/47,348.44
  6. Step 6: Final answer
    x = 28,911.76

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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.