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Finding the Fourth Proportional to 32,090.47, 48,140.31 and 9,905.74

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Solution

The fourth proportional to 32,090.47, 48,140.31 and 9,905.74 is: 14,860.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,090.47 : 48,140.31 = 9,905.74 : x
  2. Step 2: Convert to fraction form
    32,090.47/48,140.31 = 9,905.74/x
  3. Step 3: Cross multiply
    32,090.47x = 48,140.31 × 9,905.74
  4. Step 4: Simplify right side
    32,090.47x = 476,865,568.03
  5. Step 5: Solve for x
    x = 476,865,568.03/32,090.47
  6. Step 6: Final answer
    x = 14,860.04

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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.