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Finding the Fourth Proportional to 52,641, 78,966.81 and 17,100.84

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Solution

The fourth proportional to 52,641, 78,966.81 and 17,100.84 is: 25,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,641 : 78,966.81 = 17,100.84 : x
  2. Step 2: Convert to fraction form
    52,641/78,966.81 = 17,100.84/x
  3. Step 3: Cross multiply
    52,641x = 78,966.81 × 17,100.84
  4. Step 4: Simplify right side
    52,641x = 1,350,398,783.12
  5. Step 5: Solve for x
    x = 1,350,398,783.12/52,641
  6. Step 6: Final answer
    x = 25,652.98

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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.