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Finding the Fourth Proportional to 38,648.30, 53,340.29 and 21,653.69

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Solution

The fourth proportional to 38,648.30, 53,340.29 and 21,653.69 is: 29,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648.30 : 53,340.29 = 21,653.69 : x
  2. Step 2: Convert to fraction form
    38,648.30/53,340.29 = 21,653.69/x
  3. Step 3: Cross multiply
    38,648.30x = 53,340.29 × 21,653.69
  4. Step 4: Simplify right side
    38,648.30x = 1,155,014,119.79
  5. Step 5: Solve for x
    x = 1,155,014,119.79/38,648.30
  6. Step 6: Final answer
    x = 29,885.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.