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Finding the Fourth Proportional to 32,412.88, 48,627.52 and 9,039.32

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Solution

The fourth proportional to 32,412.88, 48,627.52 and 9,039.32 is: 13,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.88 : 48,627.52 = 9,039.32 : x
  2. Step 2: Convert to fraction form
    32,412.88/48,627.52 = 9,039.32/x
  3. Step 3: Cross multiply
    32,412.88x = 48,627.52 × 9,039.32
  4. Step 4: Simplify right side
    32,412.88x = 439,559,425.75
  5. Step 5: Solve for x
    x = 439,559,425.75/32,412.88
  6. Step 6: Final answer
    x = 13,561.26

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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.