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Finding the Fourth Proportional to 47,702.68, 65,822.70 and 26,482.12

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Solution

The fourth proportional to 47,702.68, 65,822.70 and 26,482.12 is: 36,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702.68 : 65,822.70 = 26,482.12 : x
  2. Step 2: Convert to fraction form
    47,702.68/65,822.70 = 26,482.12/x
  3. Step 3: Cross multiply
    47,702.68x = 65,822.70 × 26,482.12
  4. Step 4: Simplify right side
    47,702.68x = 1,743,124,640.12
  5. Step 5: Solve for x
    x = 1,743,124,640.12/47,702.68
  6. Step 6: Final answer
    x = 36,541.44

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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.