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Finding the Fourth Proportional to 82,177.19, 113,409.86 and 46,354.13

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Solution

The fourth proportional to 82,177.19, 113,409.86 and 46,354.13 is: 63,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,177.19 : 113,409.86 = 46,354.13 : x
  2. Step 2: Convert to fraction form
    82,177.19/113,409.86 = 46,354.13/x
  3. Step 3: Cross multiply
    82,177.19x = 113,409.86 × 46,354.13
  4. Step 4: Simplify right side
    82,177.19x = 5,257,014,594.90
  5. Step 5: Solve for x
    x = 5,257,014,594.90/82,177.19
  6. Step 6: Final answer
    x = 63,971.70

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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.