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Finding the Fourth Proportional to 47,074.54, 70,602.23 and 13,785.66

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Solution

The fourth proportional to 47,074.54, 70,602.23 and 13,785.66 is: 20,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,074.54 : 70,602.23 = 13,785.66 : x
  2. Step 2: Convert to fraction form
    47,074.54/70,602.23 = 13,785.66/x
  3. Step 3: Cross multiply
    47,074.54x = 70,602.23 × 13,785.66
  4. Step 4: Simplify right side
    47,074.54x = 973,298,338.02
  5. Step 5: Solve for x
    x = 973,298,338.02/47,074.54
  6. Step 6: Final answer
    x = 20,675.68

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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.