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Finding the Fourth Proportional to 38,590.14, 53,245.62 and 24,434.82

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Solution

The fourth proportional to 38,590.14, 53,245.62 and 24,434.82 is: 33,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,590.14 : 53,245.62 = 24,434.82 : x
  2. Step 2: Convert to fraction form
    38,590.14/53,245.62 = 24,434.82/x
  3. Step 3: Cross multiply
    38,590.14x = 53,245.62 × 24,434.82
  4. Step 4: Simplify right side
    38,590.14x = 1,301,047,140.49
  5. Step 5: Solve for x
    x = 1,301,047,140.49/38,590.14
  6. Step 6: Final answer
    x = 33,714.50

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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.