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Finding the Fourth Proportional to 38,527.58, 53,165.48 and 21,759.50

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Solution

The fourth proportional to 38,527.58, 53,165.48 and 21,759.50 is: 30,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,527.58 : 53,165.48 = 21,759.50 : x
  2. Step 2: Convert to fraction form
    38,527.58/53,165.48 = 21,759.50/x
  3. Step 3: Cross multiply
    38,527.58x = 53,165.48 × 21,759.50
  4. Step 4: Simplify right side
    38,527.58x = 1,156,854,262.06
  5. Step 5: Solve for x
    x = 1,156,854,262.06/38,527.58
  6. Step 6: Final answer
    x = 30,026.65

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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.