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Finding the Fourth Proportional to 46,507.38, 69,753.06 and 13,219.68

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Solution

The fourth proportional to 46,507.38, 69,753.06 and 13,219.68 is: 19,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,507.38 : 69,753.06 = 13,219.68 : x
  2. Step 2: Convert to fraction form
    46,507.38/69,753.06 = 13,219.68/x
  3. Step 3: Cross multiply
    46,507.38x = 69,753.06 × 13,219.68
  4. Step 4: Simplify right side
    46,507.38x = 922,113,132.22
  5. Step 5: Solve for x
    x = 922,113,132.22/46,507.38
  6. Step 6: Final answer
    x = 19,827.24

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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.