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Finding the Fourth Proportional to 83,074.45, 114,643.95 and 47,263.69

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Solution

The fourth proportional to 83,074.45, 114,643.95 and 47,263.69 is: 65,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074.45 : 114,643.95 = 47,263.69 : x
  2. Step 2: Convert to fraction form
    83,074.45/114,643.95 = 47,263.69/x
  3. Step 3: Cross multiply
    83,074.45x = 114,643.95 × 47,263.69
  4. Step 4: Simplify right side
    83,074.45x = 5,418,496,113.18
  5. Step 5: Solve for x
    x = 5,418,496,113.18/83,074.45
  6. Step 6: Final answer
    x = 65,224.58

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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.