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Finding the Fourth Proportional to 85,411.98, 117,868.59 and 47,686.23

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Solution

The fourth proportional to 85,411.98, 117,868.59 and 47,686.23 is: 65,807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,411.98 : 117,868.59 = 47,686.23 : x
  2. Step 2: Convert to fraction form
    85,411.98/117,868.59 = 47,686.23/x
  3. Step 3: Cross multiply
    85,411.98x = 117,868.59 × 47,686.23
  4. Step 4: Simplify right side
    85,411.98x = 5,620,708,692.52
  5. Step 5: Solve for x
    x = 5,620,708,692.52/85,411.98
  6. Step 6: Final answer
    x = 65,807.03

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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.