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Finding the Fourth Proportional to 83,537.68, 115,283.64 and 45,814

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Solution

The fourth proportional to 83,537.68, 115,283.64 and 45,814 is: 63,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,537.68 : 115,283.64 = 45,814 : x
  2. Step 2: Convert to fraction form
    83,537.68/115,283.64 = 45,814/x
  3. Step 3: Cross multiply
    83,537.68x = 115,283.64 × 45,814
  4. Step 4: Simplify right side
    83,537.68x = 5,281,604,682.96
  5. Step 5: Solve for x
    x = 5,281,604,682.96/83,537.68
  6. Step 6: Final answer
    x = 63,224.22

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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.