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Finding the Fourth Proportional to 34,704.16, 47,894.16 and 19,800.16

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Solution

The fourth proportional to 34,704.16, 47,894.16 and 19,800.16 is: 27,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,704.16 : 47,894.16 = 19,800.16 : x
  2. Step 2: Convert to fraction form
    34,704.16/47,894.16 = 19,800.16/x
  3. Step 3: Cross multiply
    34,704.16x = 47,894.16 × 19,800.16
  4. Step 4: Simplify right side
    34,704.16x = 948,312,031.07
  5. Step 5: Solve for x
    x = 948,312,031.07/34,704.16
  6. Step 6: Final answer
    x = 27,325.60

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1.5x scale

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.