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Finding the Fourth Proportional to 38,495.69, 57,762.69 and 21,618.23

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Solution

The fourth proportional to 38,495.69, 57,762.69 and 21,618.23 is: 32,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,495.69 : 57,762.69 = 21,618.23 : x
  2. Step 2: Convert to fraction form
    38,495.69/57,762.69 = 21,618.23/x
  3. Step 3: Cross multiply
    38,495.69x = 57,762.69 × 21,618.23
  4. Step 4: Simplify right side
    38,495.69x = 1,248,727,117.84
  5. Step 5: Solve for x
    x = 1,248,727,117.84/38,495.69
  6. Step 6: Final answer
    x = 32,438.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.