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Finding the Fourth Proportional to 47,140.64, 65,053.50 and 25,919.72

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Solution

The fourth proportional to 47,140.64, 65,053.50 and 25,919.72 is: 35,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,140.64 : 65,053.50 = 25,919.72 : x
  2. Step 2: Convert to fraction form
    47,140.64/65,053.50 = 25,919.72/x
  3. Step 3: Cross multiply
    47,140.64x = 65,053.50 × 25,919.72
  4. Step 4: Simplify right side
    47,140.64x = 1,686,168,505.02
  5. Step 5: Solve for x
    x = 1,686,168,505.02/47,140.64
  6. Step 6: Final answer
    x = 35,768.89

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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.