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Finding the Fourth Proportional to 82,714.46, 114,152.09 and 46,420.20

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Solution

The fourth proportional to 82,714.46, 114,152.09 and 46,420.20 is: 64,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,714.46 : 114,152.09 = 46,420.20 : x
  2. Step 2: Convert to fraction form
    82,714.46/114,152.09 = 46,420.20/x
  3. Step 3: Cross multiply
    82,714.46x = 114,152.09 × 46,420.20
  4. Step 4: Simplify right side
    82,714.46x = 5,298,962,616.12
  5. Step 5: Solve for x
    x = 5,298,962,616.12/82,714.46
  6. Step 6: Final answer
    x = 64,063.32

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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.