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Finding the Fourth Proportional to 82,702.68, 114,127.26 and 46,895.96

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Solution

The fourth proportional to 82,702.68, 114,127.26 and 46,895.96 is: 64,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,702.68 : 114,127.26 = 46,895.96 : x
  2. Step 2: Convert to fraction form
    82,702.68/114,127.26 = 46,895.96/x
  3. Step 3: Cross multiply
    82,702.68x = 114,127.26 × 46,895.96
  4. Step 4: Simplify right side
    82,702.68x = 5,352,107,419.87
  5. Step 5: Solve for x
    x = 5,352,107,419.87/82,702.68
  6. Step 6: Final answer
    x = 64,715.04

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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.