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Finding the Fourth Proportional to 83,805.84, 115,654.10 and 45,567.63

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Solution

The fourth proportional to 83,805.84, 115,654.10 and 45,567.63 is: 62,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,805.84 : 115,654.10 = 45,567.63 : x
  2. Step 2: Convert to fraction form
    83,805.84/115,654.10 = 45,567.63/x
  3. Step 3: Cross multiply
    83,805.84x = 115,654.10 × 45,567.63
  4. Step 4: Simplify right side
    83,805.84x = 5,270,083,008.94
  5. Step 5: Solve for x
    x = 5,270,083,008.94/83,805.84
  6. Step 6: Final answer
    x = 62,884.44

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1.5x scale

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.