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Finding the Fourth Proportional to 32,032.63, 48,057.72 and 15,406.57

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Solution

The fourth proportional to 32,032.63, 48,057.72 and 15,406.57 is: 23,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.63 : 48,057.72 = 15,406.57 : x
  2. Step 2: Convert to fraction form
    32,032.63/48,057.72 = 15,406.57/x
  3. Step 3: Cross multiply
    32,032.63x = 48,057.72 × 15,406.57
  4. Step 4: Simplify right side
    32,032.63x = 740,404,627.22
  5. Step 5: Solve for x
    x = 740,404,627.22/32,032.63
  6. Step 6: Final answer
    x = 23,114.08

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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.