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Finding the Fourth Proportional to 83,654.37, 115,443.24 and 45,931.05

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Solution

The fourth proportional to 83,654.37, 115,443.24 and 45,931.05 is: 63,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,654.37 : 115,443.24 = 45,931.05 : x
  2. Step 2: Convert to fraction form
    83,654.37/115,443.24 = 45,931.05/x
  3. Step 3: Cross multiply
    83,654.37x = 115,443.24 × 45,931.05
  4. Step 4: Simplify right side
    83,654.37x = 5,302,429,228.60
  5. Step 5: Solve for x
    x = 5,302,429,228.60/83,654.37
  6. Step 6: Final answer
    x = 63,384.96

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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.