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Finding the Fourth Proportional to 82,021.40, 123,032.10 and 70,211.60

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Solution

The fourth proportional to 82,021.40, 123,032.10 and 70,211.60 is: 105,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,021.40 : 123,032.10 = 70,211.60 : x
  2. Step 2: Convert to fraction form
    82,021.40/123,032.10 = 70,211.60/x
  3. Step 3: Cross multiply
    82,021.40x = 123,032.10 × 70,211.60
  4. Step 4: Simplify right side
    82,021.40x = 8,638,280,592.36
  5. Step 5: Solve for x
    x = 8,638,280,592.36/82,021.40
  6. Step 6: Final answer
    x = 105,317.40

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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.