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Finding the Fourth Proportional to 38,532.84, 53,173.64 and 21,537

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Solution

The fourth proportional to 38,532.84, 53,173.64 and 21,537 is: 29,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,532.84 : 53,173.64 = 21,537 : x
  2. Step 2: Convert to fraction form
    38,532.84/53,173.64 = 21,537/x
  3. Step 3: Cross multiply
    38,532.84x = 53,173.64 × 21,537
  4. Step 4: Simplify right side
    38,532.84x = 1,145,200,684.68
  5. Step 5: Solve for x
    x = 1,145,200,684.68/38,532.84
  6. Step 6: Final answer
    x = 29,720.12

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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.