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Finding the Fourth Proportional to 109,515.51, 164,293.55 and 34,654.50

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Solution

The fourth proportional to 109,515.51, 164,293.55 and 34,654.50 is: 51,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,515.51 : 164,293.55 = 34,654.50 : x
  2. Step 2: Convert to fraction form
    109,515.51/164,293.55 = 34,654.50/x
  3. Step 3: Cross multiply
    109,515.51x = 164,293.55 × 34,654.50
  4. Step 4: Simplify right side
    109,515.51x = 5,693,510,655.20
  5. Step 5: Solve for x
    x = 5,693,510,655.20/109,515.51
  6. Step 6: Final answer
    x = 51,988.17

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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.