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Finding the Fourth Proportional to 82,652.98, 114,053.16 and 46,355.92

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Solution

The fourth proportional to 82,652.98, 114,053.16 and 46,355.92 is: 63,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,652.98 : 114,053.16 = 46,355.92 : x
  2. Step 2: Convert to fraction form
    82,652.98/114,053.16 = 46,355.92/x
  3. Step 3: Cross multiply
    82,652.98x = 114,053.16 × 46,355.92
  4. Step 4: Simplify right side
    82,652.98x = 5,287,039,160.71
  5. Step 5: Solve for x
    x = 5,287,039,160.71/82,652.98
  6. Step 6: Final answer
    x = 63,966.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.