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Finding the Fourth Proportional to 47,690.64, 65,810.16 and 26,468.64

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Solution

The fourth proportional to 47,690.64, 65,810.16 and 26,468.64 is: 36,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,690.64 : 65,810.16 = 26,468.64 : x
  2. Step 2: Convert to fraction form
    47,690.64/65,810.16 = 26,468.64/x
  3. Step 3: Cross multiply
    47,690.64x = 65,810.16 × 26,468.64
  4. Step 4: Simplify right side
    47,690.64x = 1,741,905,433.38
  5. Step 5: Solve for x
    x = 1,741,905,433.38/47,690.64
  6. Step 6: Final answer
    x = 36,525.10

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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.