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Finding the Fourth Proportional to 47,307, 65,284.11 and 26,086.98

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Solution

The fourth proportional to 47,307, 65,284.11 and 26,086.98 is: 36,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,307 : 65,284.11 = 26,086.98 : x
  2. Step 2: Convert to fraction form
    47,307/65,284.11 = 26,086.98/x
  3. Step 3: Cross multiply
    47,307x = 65,284.11 × 26,086.98
  4. Step 4: Simplify right side
    47,307x = 1,703,065,271.89
  5. Step 5: Solve for x
    x = 1,703,065,271.89/47,307
  6. Step 6: Final answer
    x = 36,000.28

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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.