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Finding the Fourth Proportional to 83,321.34, 114,980.60 and 47,522.88

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Solution

The fourth proportional to 83,321.34, 114,980.60 and 47,522.88 is: 65,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,321.34 : 114,980.60 = 47,522.88 : x
  2. Step 2: Convert to fraction form
    83,321.34/114,980.60 = 47,522.88/x
  3. Step 3: Cross multiply
    83,321.34x = 114,980.60 × 47,522.88
  4. Step 4: Simplify right side
    83,321.34x = 5,464,209,018.51
  5. Step 5: Solve for x
    x = 5,464,209,018.51/83,321.34
  6. Step 6: Final answer
    x = 65,579.95

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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.