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Finding the Fourth Proportional to 53,794.88, 74,236.93 and 31,438.88

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Solution

The fourth proportional to 53,794.88, 74,236.93 and 31,438.88 is: 43,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,794.88 : 74,236.93 = 31,438.88 : x
  2. Step 2: Convert to fraction form
    53,794.88/74,236.93 = 31,438.88/x
  3. Step 3: Cross multiply
    53,794.88x = 74,236.93 × 31,438.88
  4. Step 4: Simplify right side
    53,794.88x = 2,333,925,484.06
  5. Step 5: Solve for x
    x = 2,333,925,484.06/53,794.88
  6. Step 6: Final answer
    x = 43,385.65

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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.