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Finding the Fourth Proportional to 32,564.60, 48,846.90 and 11,785.40

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Solution

The fourth proportional to 32,564.60, 48,846.90 and 11,785.40 is: 17,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.60 : 48,846.90 = 11,785.40 : x
  2. Step 2: Convert to fraction form
    32,564.60/48,846.90 = 11,785.40/x
  3. Step 3: Cross multiply
    32,564.60x = 48,846.90 × 11,785.40
  4. Step 4: Simplify right side
    32,564.60x = 575,680,255.26
  5. Step 5: Solve for x
    x = 575,680,255.26/32,564.60
  6. Step 6: Final answer
    x = 17,678.10

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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.