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Finding the Fourth Proportional to 38,064, 57,098.73 and 11,765.32

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Solution

The fourth proportional to 38,064, 57,098.73 and 11,765.32 is: 17,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064 : 57,098.73 = 11,765.32 : x
  2. Step 2: Convert to fraction form
    38,064/57,098.73 = 11,765.32/x
  3. Step 3: Cross multiply
    38,064x = 57,098.73 × 11,765.32
  4. Step 4: Simplify right side
    38,064x = 671,784,830.04
  5. Step 5: Solve for x
    x = 671,784,830.04/38,064
  6. Step 6: Final answer
    x = 17,648.82

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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.