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Finding the Fourth Proportional to 46,190, 63,742.24 and 24,969.26

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Solution

The fourth proportional to 46,190, 63,742.24 and 24,969.26 is: 34,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,190 : 63,742.24 = 24,969.26 : x
  2. Step 2: Convert to fraction form
    46,190/63,742.24 = 24,969.26/x
  3. Step 3: Cross multiply
    46,190x = 63,742.24 × 24,969.26
  4. Step 4: Simplify right side
    46,190x = 1,591,596,563.54
  5. Step 5: Solve for x
    x = 1,591,596,563.54/46,190
  6. Step 6: Final answer
    x = 34,457.60

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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.