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Finding the Fourth Proportional to 70,576, 105,848.16 and 20,643.10

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Solution

The fourth proportional to 70,576, 105,848.16 and 20,643.10 is: 30,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,576 : 105,848.16 = 20,643.10 : x
  2. Step 2: Convert to fraction form
    70,576/105,848.16 = 20,643.10/x
  3. Step 3: Cross multiply
    70,576x = 105,848.16 × 20,643.10
  4. Step 4: Simplify right side
    70,576x = 2,185,034,151.70
  5. Step 5: Solve for x
    x = 2,185,034,151.70/70,576
  6. Step 6: Final answer
    x = 30,960.02

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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.