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Finding the Fourth Proportional to 84,632.80, 116,805.70 and 48,815.82

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Solution

The fourth proportional to 84,632.80, 116,805.70 and 48,815.82 is: 67,373.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,632.80 : 116,805.70 = 48,815.82 : x
  2. Step 2: Convert to fraction form
    84,632.80/116,805.70 = 48,815.82/x
  3. Step 3: Cross multiply
    84,632.80x = 116,805.70 × 48,815.82
  4. Step 4: Simplify right side
    84,632.80x = 5,701,966,026.17
  5. Step 5: Solve for x
    x = 5,701,966,026.17/84,632.80
  6. Step 6: Final answer
    x = 67,373.00

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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.