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Finding the Fourth Proportional to 102,571.20, 153,842.40 and 32,457.60

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Solution

The fourth proportional to 102,571.20, 153,842.40 and 32,457.60 is: 48,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,571.20 : 153,842.40 = 32,457.60 : x
  2. Step 2: Convert to fraction form
    102,571.20/153,842.40 = 32,457.60/x
  3. Step 3: Cross multiply
    102,571.20x = 153,842.40 × 32,457.60
  4. Step 4: Simplify right side
    102,571.20x = 4,993,355,082.24
  5. Step 5: Solve for x
    x = 4,993,355,082.24/102,571.20
  6. Step 6: Final answer
    x = 48,681.84

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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.