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Finding the Fourth Proportional to 32,875.96, 45,367.98 and 17,971

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Solution

The fourth proportional to 32,875.96, 45,367.98 and 17,971 is: 24,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,875.96 : 45,367.98 = 17,971 : x
  2. Step 2: Convert to fraction form
    32,875.96/45,367.98 = 17,971/x
  3. Step 3: Cross multiply
    32,875.96x = 45,367.98 × 17,971
  4. Step 4: Simplify right side
    32,875.96x = 815,307,968.58
  5. Step 5: Solve for x
    x = 815,307,968.58/32,875.96
  6. Step 6: Final answer
    x = 24,799.52

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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.