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Finding the Fourth Proportional to 38,768.64, 53,506.61 and 23,670.10

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Solution

The fourth proportional to 38,768.64, 53,506.61 and 23,670.10 is: 32,668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,768.64 : 53,506.61 = 23,670.10 : x
  2. Step 2: Convert to fraction form
    38,768.64/53,506.61 = 23,670.10/x
  3. Step 3: Cross multiply
    38,768.64x = 53,506.61 × 23,670.10
  4. Step 4: Simplify right side
    38,768.64x = 1,266,506,809.36
  5. Step 5: Solve for x
    x = 1,266,506,809.36/38,768.64
  6. Step 6: Final answer
    x = 32,668.33

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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.