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Finding the Fourth Proportional to 82,863.57, 114,347.79 and 47,048.88

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Solution

The fourth proportional to 82,863.57, 114,347.79 and 47,048.88 is: 64,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,863.57 : 114,347.79 = 47,048.88 : x
  2. Step 2: Convert to fraction form
    82,863.57/114,347.79 = 47,048.88/x
  3. Step 3: Cross multiply
    82,863.57x = 114,347.79 × 47,048.88
  4. Step 4: Simplify right side
    82,863.57x = 5,379,935,449.98
  5. Step 5: Solve for x
    x = 5,379,935,449.98/82,863.57
  6. Step 6: Final answer
    x = 64,925.22

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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.