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Finding the Fourth Proportional to 38,478.89, 53,051.49 and 31,554.51

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Solution

The fourth proportional to 38,478.89, 53,051.49 and 31,554.51 is: 43,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478.89 : 53,051.49 = 31,554.51 : x
  2. Step 2: Convert to fraction form
    38,478.89/53,051.49 = 31,554.51/x
  3. Step 3: Cross multiply
    38,478.89x = 53,051.49 × 31,554.51
  4. Step 4: Simplify right side
    38,478.89x = 1,674,013,771.72
  5. Step 5: Solve for x
    x = 1,674,013,771.72/38,478.89
  6. Step 6: Final answer
    x = 43,504.74

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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.