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Finding the Fourth Proportional to 47,702.95, 65,830.37 and 26,193.63

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Solution

The fourth proportional to 47,702.95, 65,830.37 and 26,193.63 is: 36,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702.95 : 65,830.37 = 26,193.63 : x
  2. Step 2: Convert to fraction form
    47,702.95/65,830.37 = 26,193.63/x
  3. Step 3: Cross multiply
    47,702.95x = 65,830.37 × 26,193.63
  4. Step 4: Simplify right side
    47,702.95x = 1,724,335,894.42
  5. Step 5: Solve for x
    x = 1,724,335,894.42/47,702.95
  6. Step 6: Final answer
    x = 36,147.36

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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.