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Finding the Fourth Proportional to 38,496.53, 53,123.72 and 24,164.06

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Solution

The fourth proportional to 38,496.53, 53,123.72 and 24,164.06 is: 33,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.53 : 53,123.72 = 24,164.06 : x
  2. Step 2: Convert to fraction form
    38,496.53/53,123.72 = 24,164.06/x
  3. Step 3: Cross multiply
    38,496.53x = 53,123.72 × 24,164.06
  4. Step 4: Simplify right side
    38,496.53x = 1,283,684,769.49
  5. Step 5: Solve for x
    x = 1,283,684,769.49/38,496.53
  6. Step 6: Final answer
    x = 33,345.46

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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.