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Finding the Fourth Proportional to 32,202.90, 48,288.42 and 13,477.32

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Solution

The fourth proportional to 32,202.90, 48,288.42 and 13,477.32 is: 20,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202.90 : 48,288.42 = 13,477.32 : x
  2. Step 2: Convert to fraction form
    32,202.90/48,288.42 = 13,477.32/x
  3. Step 3: Cross multiply
    32,202.90x = 48,288.42 × 13,477.32
  4. Step 4: Simplify right side
    32,202.90x = 650,798,488.63
  5. Step 5: Solve for x
    x = 650,798,488.63/32,202.90
  6. Step 6: Final answer
    x = 20,209.31

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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.