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Finding the Fourth Proportional to 39,830.38, 59,745.56 and 16,457.42

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Solution

The fourth proportional to 39,830.38, 59,745.56 and 16,457.42 is: 24,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,830.38 : 59,745.56 = 16,457.42 : x
  2. Step 2: Convert to fraction form
    39,830.38/59,745.56 = 16,457.42/x
  3. Step 3: Cross multiply
    39,830.38x = 59,745.56 × 16,457.42
  4. Step 4: Simplify right side
    39,830.38x = 983,257,774.06
  5. Step 5: Solve for x
    x = 983,257,774.06/39,830.38
  6. Step 6: Final answer
    x = 24,686.13

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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.