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Finding the Fourth Proportional to 83,231.34, 114,848.28 and 46,934.64

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Solution

The fourth proportional to 83,231.34, 114,848.28 and 46,934.64 is: 64,763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,231.34 : 114,848.28 = 46,934.64 : x
  2. Step 2: Convert to fraction form
    83,231.34/114,848.28 = 46,934.64/x
  3. Step 3: Cross multiply
    83,231.34x = 114,848.28 × 46,934.64
  4. Step 4: Simplify right side
    83,231.34x = 5,390,362,676.42
  5. Step 5: Solve for x
    x = 5,390,362,676.42/83,231.34
  6. Step 6: Final answer
    x = 64,763.62

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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.