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Finding the Fourth Proportional to 82,623.80, 114,020.54 and 46,820.66

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Solution

The fourth proportional to 82,623.80, 114,020.54 and 46,820.66 is: 64,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,623.80 : 114,020.54 = 46,820.66 : x
  2. Step 2: Convert to fraction form
    82,623.80/114,020.54 = 46,820.66/x
  3. Step 3: Cross multiply
    82,623.80x = 114,020.54 × 46,820.66
  4. Step 4: Simplify right side
    82,623.80x = 5,338,516,702.25
  5. Step 5: Solve for x
    x = 5,338,516,702.25/82,623.80
  6. Step 6: Final answer
    x = 64,612.34

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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.