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Finding the Fourth Proportional to 32,160, 48,219.30 and 13,435.02

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Solution

The fourth proportional to 32,160, 48,219.30 and 13,435.02 is: 20,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160 : 48,219.30 = 13,435.02 : x
  2. Step 2: Convert to fraction form
    32,160/48,219.30 = 13,435.02/x
  3. Step 3: Cross multiply
    32,160x = 48,219.30 × 13,435.02
  4. Step 4: Simplify right side
    32,160x = 647,827,259.89
  5. Step 5: Solve for x
    x = 647,827,259.89/32,160
  6. Step 6: Final answer
    x = 20,143.88

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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.