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Finding the Fourth Proportional to 47,265, 70,897.77 and 12,202.26

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Solution

The fourth proportional to 47,265, 70,897.77 and 12,202.26 is: 18,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,265 : 70,897.77 = 12,202.26 : x
  2. Step 2: Convert to fraction form
    47,265/70,897.77 = 12,202.26/x
  3. Step 3: Cross multiply
    47,265x = 70,897.77 × 12,202.26
  4. Step 4: Simplify right side
    47,265x = 865,113,022.96
  5. Step 5: Solve for x
    x = 865,113,022.96/47,265
  6. Step 6: Final answer
    x = 18,303.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.