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Finding the Fourth Proportional to 32,053.30, 48,097.16 and 13,346.26

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Solution

The fourth proportional to 32,053.30, 48,097.16 and 13,346.26 is: 20,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,053.30 : 48,097.16 = 13,346.26 : x
  2. Step 2: Convert to fraction form
    32,053.30/48,097.16 = 13,346.26/x
  3. Step 3: Cross multiply
    32,053.30x = 48,097.16 × 13,346.26
  4. Step 4: Simplify right side
    32,053.30x = 641,916,895.40
  5. Step 5: Solve for x
    x = 641,916,895.40/32,053.30
  6. Step 6: Final answer
    x = 20,026.55

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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.