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Finding the Fourth Proportional to 70,171, 105,263.56 and 22,784.08

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Solution

The fourth proportional to 70,171, 105,263.56 and 22,784.08 is: 34,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,171 : 105,263.56 = 22,784.08 : x
  2. Step 2: Convert to fraction form
    70,171/105,263.56 = 22,784.08/x
  3. Step 3: Cross multiply
    70,171x = 105,263.56 × 22,784.08
  4. Step 4: Simplify right side
    70,171x = 2,398,333,372.12
  5. Step 5: Solve for x
    x = 2,398,333,372.12/70,171
  6. Step 6: Final answer
    x = 34,178.41

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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.