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Finding the Fourth Proportional to 71,654.60, 107,482.16 and 21,735.14

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Solution

The fourth proportional to 71,654.60, 107,482.16 and 21,735.14 is: 32,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,654.60 : 107,482.16 = 21,735.14 : x
  2. Step 2: Convert to fraction form
    71,654.60/107,482.16 = 21,735.14/x
  3. Step 3: Cross multiply
    71,654.60x = 107,482.16 × 21,735.14
  4. Step 4: Simplify right side
    71,654.60x = 2,336,139,312.03
  5. Step 5: Solve for x
    x = 2,336,139,312.03/71,654.60
  6. Step 6: Final answer
    x = 32,602.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.