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Finding the Fourth Proportional to 85,147.19, 117,506.80 and 47,421.44

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Solution

The fourth proportional to 85,147.19, 117,506.80 and 47,421.44 is: 65,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,147.19 : 117,506.80 = 47,421.44 : x
  2. Step 2: Convert to fraction form
    85,147.19/117,506.80 = 47,421.44/x
  3. Step 3: Cross multiply
    85,147.19x = 117,506.80 × 47,421.44
  4. Step 4: Simplify right side
    85,147.19x = 5,572,341,253.47
  5. Step 5: Solve for x
    x = 5,572,341,253.47/85,147.19
  6. Step 6: Final answer
    x = 65,443.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.