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Finding the Fourth Proportional to 82,714.41, 114,171.84 and 46,928.19

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Solution

The fourth proportional to 82,714.41, 114,171.84 and 46,928.19 is: 64,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,714.41 : 114,171.84 = 46,928.19 : x
  2. Step 2: Convert to fraction form
    82,714.41/114,171.84 = 46,928.19/x
  3. Step 3: Cross multiply
    82,714.41x = 114,171.84 × 46,928.19
  4. Step 4: Simplify right side
    82,714.41x = 5,357,877,800.17
  5. Step 5: Solve for x
    x = 5,357,877,800.17/82,714.41
  6. Step 6: Final answer
    x = 64,775.63

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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.