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Finding the Fourth Proportional to 83,017.68, 114,567.84 and 47,214

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Solution

The fourth proportional to 83,017.68, 114,567.84 and 47,214 is: 65,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,017.68 : 114,567.84 = 47,214 : x
  2. Step 2: Convert to fraction form
    83,017.68/114,567.84 = 47,214/x
  3. Step 3: Cross multiply
    83,017.68x = 114,567.84 × 47,214
  4. Step 4: Simplify right side
    83,017.68x = 5,409,205,997.76
  5. Step 5: Solve for x
    x = 5,409,205,997.76/83,017.68
  6. Step 6: Final answer
    x = 65,157.28

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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.