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Finding the Fourth Proportional to 47,357.31, 65,361.55 and 28,238.32

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Solution

The fourth proportional to 47,357.31, 65,361.55 and 28,238.32 is: 38,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,357.31 : 65,361.55 = 28,238.32 : x
  2. Step 2: Convert to fraction form
    47,357.31/65,361.55 = 28,238.32/x
  3. Step 3: Cross multiply
    47,357.31x = 65,361.55 × 28,238.32
  4. Step 4: Simplify right side
    47,357.31x = 1,845,700,364.60
  5. Step 5: Solve for x
    x = 1,845,700,364.60/47,357.31
  6. Step 6: Final answer
    x = 38,973.93

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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.