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Finding the Fourth Proportional to 35,106.30, 52,659.45 and 25,314.30

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Solution

The fourth proportional to 35,106.30, 52,659.45 and 25,314.30 is: 37,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,106.30 : 52,659.45 = 25,314.30 : x
  2. Step 2: Convert to fraction form
    35,106.30/52,659.45 = 25,314.30/x
  3. Step 3: Cross multiply
    35,106.30x = 52,659.45 × 25,314.30
  4. Step 4: Simplify right side
    35,106.30x = 1,333,037,115.14
  5. Step 5: Solve for x
    x = 1,333,037,115.14/35,106.30
  6. Step 6: Final answer
    x = 37,971.45

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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.