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Finding the Fourth Proportional to 32,738.80, 45,189.48 and 19,309

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Solution

The fourth proportional to 32,738.80, 45,189.48 and 19,309 is: 26,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,738.80 : 45,189.48 = 19,309 : x
  2. Step 2: Convert to fraction form
    32,738.80/45,189.48 = 19,309/x
  3. Step 3: Cross multiply
    32,738.80x = 45,189.48 × 19,309
  4. Step 4: Simplify right side
    32,738.80x = 872,563,669.32
  5. Step 5: Solve for x
    x = 872,563,669.32/32,738.80
  6. Step 6: Final answer
    x = 26,652.28

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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.