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Finding the Fourth Proportional to 82,368.30, 123,523.65 and 42,912.30

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Solution

The fourth proportional to 82,368.30, 123,523.65 and 42,912.30 is: 64,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,368.30 : 123,523.65 = 42,912.30 : x
  2. Step 2: Convert to fraction form
    82,368.30/123,523.65 = 42,912.30/x
  3. Step 3: Cross multiply
    82,368.30x = 123,523.65 × 42,912.30
  4. Step 4: Simplify right side
    82,368.30x = 5,300,683,925.90
  5. Step 5: Solve for x
    x = 5,300,683,925.90/82,368.30
  6. Step 6: Final answer
    x = 64,353.45

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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.