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Finding the Fourth Proportional to 47,297.79, 65,269.94 and 26,077.10

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Solution

The fourth proportional to 47,297.79, 65,269.94 and 26,077.10 is: 35,985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,297.79 : 65,269.94 = 26,077.10 : x
  2. Step 2: Convert to fraction form
    47,297.79/65,269.94 = 26,077.10/x
  3. Step 3: Cross multiply
    47,297.79x = 65,269.94 × 26,077.10
  4. Step 4: Simplify right side
    47,297.79x = 1,702,050,295.64
  5. Step 5: Solve for x
    x = 1,702,050,295.64/47,297.79
  6. Step 6: Final answer
    x = 35,985.83

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Why These Related Problems?

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