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Finding the Fourth Proportional to 47,310.78, 70,946.12 and 17,707.98

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Solution

The fourth proportional to 47,310.78, 70,946.12 and 17,707.98 is: 26,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,310.78 : 70,946.12 = 17,707.98 : x
  2. Step 2: Convert to fraction form
    47,310.78/70,946.12 = 17,707.98/x
  3. Step 3: Cross multiply
    47,310.78x = 70,946.12 × 17,707.98
  4. Step 4: Simplify right side
    47,310.78x = 1,256,312,474.04
  5. Step 5: Solve for x
    x = 1,256,312,474.04/47,310.78
  6. Step 6: Final answer
    x = 26,554.47

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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.