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Finding the Fourth Proportional to 83,691, 115,493.58 and 45,967.68

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Solution

The fourth proportional to 83,691, 115,493.58 and 45,967.68 is: 63,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,691 : 115,493.58 = 45,967.68 : x
  2. Step 2: Convert to fraction form
    83,691/115,493.58 = 45,967.68/x
  3. Step 3: Cross multiply
    83,691x = 115,493.58 × 45,967.68
  4. Step 4: Simplify right side
    83,691x = 5,308,971,927.49
  5. Step 5: Solve for x
    x = 5,308,971,927.49/83,691
  6. Step 6: Final answer
    x = 63,435.40

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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.