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Finding the Fourth Proportional to 38,765.81, 53,501.58 and 23,658.10

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Solution

The fourth proportional to 38,765.81, 53,501.58 and 23,658.10 is: 32,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,765.81 : 53,501.58 = 23,658.10 : x
  2. Step 2: Convert to fraction form
    38,765.81/53,501.58 = 23,658.10/x
  3. Step 3: Cross multiply
    38,765.81x = 53,501.58 × 23,658.10
  4. Step 4: Simplify right side
    38,765.81x = 1,265,745,596.04
  5. Step 5: Solve for x
    x = 1,265,745,596.04/38,765.81
  6. Step 6: Final answer
    x = 32,651.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.