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Finding the Fourth Proportional to 38,784.64, 53,527.80 and 23,674.12

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Solution

The fourth proportional to 38,784.64, 53,527.80 and 23,674.12 is: 32,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,784.64 : 53,527.80 = 23,674.12 : x
  2. Step 2: Convert to fraction form
    38,784.64/53,527.80 = 23,674.12/x
  3. Step 3: Cross multiply
    38,784.64x = 53,527.80 × 23,674.12
  4. Step 4: Simplify right side
    38,784.64x = 1,267,223,560.54
  5. Step 5: Solve for x
    x = 1,267,223,560.54/38,784.64
  6. Step 6: Final answer
    x = 32,673.34

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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.