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Finding the Fourth Proportional to 32,419.84, 48,630.66 and 9,046.26

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Solution

The fourth proportional to 32,419.84, 48,630.66 and 9,046.26 is: 13,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.84 : 48,630.66 = 9,046.26 : x
  2. Step 2: Convert to fraction form
    32,419.84/48,630.66 = 9,046.26/x
  3. Step 3: Cross multiply
    32,419.84x = 48,630.66 × 9,046.26
  4. Step 4: Simplify right side
    32,419.84x = 439,925,594.33
  5. Step 5: Solve for x
    x = 439,925,594.33/32,419.84
  6. Step 6: Final answer
    x = 13,569.64

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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.