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Finding the Fourth Proportional to 32,237.04, 44,507.76 and 26,283

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Solution

The fourth proportional to 32,237.04, 44,507.76 and 26,283 is: 36,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,237.04 : 44,507.76 = 26,283 : x
  2. Step 2: Convert to fraction form
    32,237.04/44,507.76 = 26,283/x
  3. Step 3: Cross multiply
    32,237.04x = 44,507.76 × 26,283
  4. Step 4: Simplify right side
    32,237.04x = 1,169,797,456.08
  5. Step 5: Solve for x
    x = 1,169,797,456.08/32,237.04
  6. Step 6: Final answer
    x = 36,287.37

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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.