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Finding the Fourth Proportional to 38,507.70, 53,112.18 and 24,346.89

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Solution

The fourth proportional to 38,507.70, 53,112.18 and 24,346.89 is: 33,580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.70 : 53,112.18 = 24,346.89 : x
  2. Step 2: Convert to fraction form
    38,507.70/53,112.18 = 24,346.89/x
  3. Step 3: Cross multiply
    38,507.70x = 53,112.18 × 24,346.89
  4. Step 4: Simplify right side
    38,507.70x = 1,293,116,404.12
  5. Step 5: Solve for x
    x = 1,293,116,404.12/38,507.70
  6. Step 6: Final answer
    x = 33,580.72

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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.