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Finding the Fourth Proportional to 47,464.74, 65,486.54 and 31,551.89

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Solution

The fourth proportional to 47,464.74, 65,486.54 and 31,551.89 is: 43,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,464.74 : 65,486.54 = 31,551.89 : x
  2. Step 2: Convert to fraction form
    47,464.74/65,486.54 = 31,551.89/x
  3. Step 3: Cross multiply
    47,464.74x = 65,486.54 × 31,551.89
  4. Step 4: Simplify right side
    47,464.74x = 2,066,223,858.01
  5. Step 5: Solve for x
    x = 2,066,223,858.01/47,464.74
  6. Step 6: Final answer
    x = 43,531.76

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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.