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Finding the Fourth Proportional to 46,897.26, 70,284.87 and 35,763

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Solution

The fourth proportional to 46,897.26, 70,284.87 and 35,763 is: 53,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,897.26 : 70,284.87 = 35,763 : x
  2. Step 2: Convert to fraction form
    46,897.26/70,284.87 = 35,763/x
  3. Step 3: Cross multiply
    46,897.26x = 70,284.87 × 35,763
  4. Step 4: Simplify right side
    46,897.26x = 2,513,597,805.81
  5. Step 5: Solve for x
    x = 2,513,597,805.81/46,897.26
  6. Step 6: Final answer
    x = 53,597.97

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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.