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Finding the Fourth Proportional to 102,396.60, 153,664.10 and 35,837.32

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Solution

The fourth proportional to 102,396.60, 153,664.10 and 35,837.32 is: 53,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,396.60 : 153,664.10 = 35,837.32 : x
  2. Step 2: Convert to fraction form
    102,396.60/153,664.10 = 35,837.32/x
  3. Step 3: Cross multiply
    102,396.60x = 153,664.10 × 35,837.32
  4. Step 4: Simplify right side
    102,396.60x = 5,506,909,524.21
  5. Step 5: Solve for x
    x = 5,506,909,524.21/102,396.60
  6. Step 6: Final answer
    x = 53,780.20

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