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Finding the Fourth Proportional to 82,922.01, 114,435.45 and 47,118.07

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Solution

The fourth proportional to 82,922.01, 114,435.45 and 47,118.07 is: 65,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,922.01 : 114,435.45 = 47,118.07 : x
  2. Step 2: Convert to fraction form
    82,922.01/114,435.45 = 47,118.07/x
  3. Step 3: Cross multiply
    82,922.01x = 114,435.45 × 47,118.07
  4. Step 4: Simplify right side
    82,922.01x = 5,391,977,543.58
  5. Step 5: Solve for x
    x = 5,391,977,543.58/82,922.01
  6. Step 6: Final answer
    x = 65,024.69

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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.