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Finding the Fourth Proportional to 83,647.60, 115,411.16 and 47,830.22

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Solution

The fourth proportional to 83,647.60, 115,411.16 and 47,830.22 is: 65,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,647.60 : 115,411.16 = 47,830.22 : x
  2. Step 2: Convert to fraction form
    83,647.60/115,411.16 = 47,830.22/x
  3. Step 3: Cross multiply
    83,647.60x = 115,411.16 × 47,830.22
  4. Step 4: Simplify right side
    83,647.60x = 5,520,141,173.26
  5. Step 5: Solve for x
    x = 5,520,141,173.26/83,647.60
  6. Step 6: Final answer
    x = 65,992.82

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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.