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Finding the Fourth Proportional to 85,256.94, 117,653.02 and 47,020.02

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Solution

The fourth proportional to 85,256.94, 117,653.02 and 47,020.02 is: 64,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,256.94 : 117,653.02 = 47,020.02 : x
  2. Step 2: Convert to fraction form
    85,256.94/117,653.02 = 47,020.02/x
  3. Step 3: Cross multiply
    85,256.94x = 117,653.02 × 47,020.02
  4. Step 4: Simplify right side
    85,256.94x = 5,532,046,530.10
  5. Step 5: Solve for x
    x = 5,532,046,530.10/85,256.94
  6. Step 6: Final answer
    x = 64,886.76

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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.