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Finding the Fourth Proportional to 32,145.40, 48,210.67 and 12,157.03

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Solution

The fourth proportional to 32,145.40, 48,210.67 and 12,157.03 is: 18,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.40 : 48,210.67 = 12,157.03 : x
  2. Step 2: Convert to fraction form
    32,145.40/48,210.67 = 12,157.03/x
  3. Step 3: Cross multiply
    32,145.40x = 48,210.67 × 12,157.03
  4. Step 4: Simplify right side
    32,145.40x = 586,098,561.51
  5. Step 5: Solve for x
    x = 586,098,561.51/32,145.40
  6. Step 6: Final answer
    x = 18,232.74

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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.