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Finding the Fourth Proportional to 38,528.96, 53,213.84 and 25,931.84

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Solution

The fourth proportional to 38,528.96, 53,213.84 and 25,931.84 is: 35,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,528.96 : 53,213.84 = 25,931.84 : x
  2. Step 2: Convert to fraction form
    38,528.96/53,213.84 = 25,931.84/x
  3. Step 3: Cross multiply
    38,528.96x = 53,213.84 × 25,931.84
  4. Step 4: Simplify right side
    38,528.96x = 1,379,932,784.67
  5. Step 5: Solve for x
    x = 1,379,932,784.67/38,528.96
  6. Step 6: Final answer
    x = 35,815.47

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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.