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Finding the Fourth Proportional to 38,810.50, 53,558.49 and 21,146.50

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Solution

The fourth proportional to 38,810.50, 53,558.49 and 21,146.50 is: 29,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,810.50 : 53,558.49 = 21,146.50 : x
  2. Step 2: Convert to fraction form
    38,810.50/53,558.49 = 21,146.50/x
  3. Step 3: Cross multiply
    38,810.50x = 53,558.49 × 21,146.50
  4. Step 4: Simplify right side
    38,810.50x = 1,132,574,608.79
  5. Step 5: Solve for x
    x = 1,132,574,608.79/38,810.50
  6. Step 6: Final answer
    x = 29,182.17

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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.