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Finding the Fourth Proportional to 82,645.49, 114,053.18 and 46,834.31

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Solution

The fourth proportional to 82,645.49, 114,053.18 and 46,834.31 is: 64,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,645.49 : 114,053.18 = 46,834.31 : x
  2. Step 2: Convert to fraction form
    82,645.49/114,053.18 = 46,834.31/x
  3. Step 3: Cross multiply
    82,645.49x = 114,053.18 × 46,834.31
  4. Step 4: Simplify right side
    82,645.49x = 5,341,601,184.17
  5. Step 5: Solve for x
    x = 5,341,601,184.17/82,645.49
  6. Step 6: Final answer
    x = 64,632.70

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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.