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Finding the Fourth Proportional to 38,675.88, 53,376.10 and 23,564.84

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Solution

The fourth proportional to 38,675.88, 53,376.10 and 23,564.84 is: 32,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,675.88 : 53,376.10 = 23,564.84 : x
  2. Step 2: Convert to fraction form
    38,675.88/53,376.10 = 23,564.84/x
  3. Step 3: Cross multiply
    38,675.88x = 53,376.10 × 23,564.84
  4. Step 4: Simplify right side
    38,675.88x = 1,257,799,256.32
  5. Step 5: Solve for x
    x = 1,257,799,256.32/38,675.88
  6. Step 6: Final answer
    x = 32,521.54

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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.