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Finding the Fourth Proportional to 38,446.25, 53,089.20 and 24,130.89

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Solution

The fourth proportional to 38,446.25, 53,089.20 and 24,130.89 is: 33,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,446.25 : 53,089.20 = 24,130.89 : x
  2. Step 2: Convert to fraction form
    38,446.25/53,089.20 = 24,130.89/x
  3. Step 3: Cross multiply
    38,446.25x = 53,089.20 × 24,130.89
  4. Step 4: Simplify right side
    38,446.25x = 1,281,089,577.52
  5. Step 5: Solve for x
    x = 1,281,089,577.52/38,446.25
  6. Step 6: Final answer
    x = 33,321.58

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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.