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Finding the Fourth Proportional to 46,814.39, 70,221.72 and 13,537.16

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Solution

The fourth proportional to 46,814.39, 70,221.72 and 13,537.16 is: 20,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,814.39 : 70,221.72 = 13,537.16 : x
  2. Step 2: Convert to fraction form
    46,814.39/70,221.72 = 13,537.16/x
  3. Step 3: Cross multiply
    46,814.39x = 70,221.72 × 13,537.16
  4. Step 4: Simplify right side
    46,814.39x = 950,602,659.12
  5. Step 5: Solve for x
    x = 950,602,659.12/46,814.39
  6. Step 6: Final answer
    x = 20,305.78

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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.