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Finding the Fourth Proportional to 83,286.61, 114,935.55 and 46,995.76

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Solution

The fourth proportional to 83,286.61, 114,935.55 and 46,995.76 is: 64,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,286.61 : 114,935.55 = 46,995.76 : x
  2. Step 2: Convert to fraction form
    83,286.61/114,935.55 = 46,995.76/x
  3. Step 3: Cross multiply
    83,286.61x = 114,935.55 × 46,995.76
  4. Step 4: Simplify right side
    83,286.61x = 5,401,483,575.63
  5. Step 5: Solve for x
    x = 5,401,483,575.63/83,286.61
  6. Step 6: Final answer
    x = 64,854.16

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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.