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Finding the Fourth Proportional to 47,953.94, 66,175.16 and 27,809.56

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Solution

The fourth proportional to 47,953.94, 66,175.16 and 27,809.56 is: 38,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,953.94 : 66,175.16 = 27,809.56 : x
  2. Step 2: Convert to fraction form
    47,953.94/66,175.16 = 27,809.56/x
  3. Step 3: Cross multiply
    47,953.94x = 66,175.16 × 27,809.56
  4. Step 4: Simplify right side
    47,953.94x = 1,840,302,082.53
  5. Step 5: Solve for x
    x = 1,840,302,082.53/47,953.94
  6. Step 6: Final answer
    x = 38,376.45

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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.