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Finding the Fourth Proportional to 32,813.60, 45,267 and 21,478.10

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Solution

The fourth proportional to 32,813.60, 45,267 and 21,478.10 is: 29,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,813.60 : 45,267 = 21,478.10 : x
  2. Step 2: Convert to fraction form
    32,813.60/45,267 = 21,478.10/x
  3. Step 3: Cross multiply
    32,813.60x = 45,267 × 21,478.10
  4. Step 4: Simplify right side
    32,813.60x = 972,248,926.37
  5. Step 5: Solve for x
    x = 972,248,926.37/32,813.60
  6. Step 6: Final answer
    x = 29,629.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.