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Finding the Fourth Proportional to 32,897.25, 45,406.31 and 20,148.12

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Solution

The fourth proportional to 32,897.25, 45,406.31 and 20,148.12 is: 27,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,897.25 : 45,406.31 = 20,148.12 : x
  2. Step 2: Convert to fraction form
    32,897.25/45,406.31 = 20,148.12/x
  3. Step 3: Cross multiply
    32,897.25x = 45,406.31 × 20,148.12
  4. Step 4: Simplify right side
    32,897.25x = 914,851,681.90
  5. Step 5: Solve for x
    x = 914,851,681.90/32,897.25
  6. Step 6: Final answer
    x = 27,809.37

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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.