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Finding the Fourth Proportional to 84,827, 117,075.66 and 49,037.76

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Solution

The fourth proportional to 84,827, 117,075.66 and 49,037.76 is: 67,680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,827 : 117,075.66 = 49,037.76 : x
  2. Step 2: Convert to fraction form
    84,827/117,075.66 = 49,037.76/x
  3. Step 3: Cross multiply
    84,827x = 117,075.66 × 49,037.76
  4. Step 4: Simplify right side
    84,827x = 5,741,128,116.92
  5. Step 5: Solve for x
    x = 5,741,128,116.92/84,827
  6. Step 6: Final answer
    x = 67,680.43

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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.