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Finding the Fourth Proportional to 47,652.32, 65,758.02 and 26,431.40

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Solution

The fourth proportional to 47,652.32, 65,758.02 and 26,431.40 is: 36,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652.32 : 65,758.02 = 26,431.40 : x
  2. Step 2: Convert to fraction form
    47,652.32/65,758.02 = 26,431.40/x
  3. Step 3: Cross multiply
    47,652.32x = 65,758.02 × 26,431.40
  4. Step 4: Simplify right side
    47,652.32x = 1,738,076,529.83
  5. Step 5: Solve for x
    x = 1,738,076,529.83/47,652.32
  6. Step 6: Final answer
    x = 36,474.12

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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.