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Finding the Fourth Proportional to 82,618.91, 114,009.62 and 46,808.13

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Solution

The fourth proportional to 82,618.91, 114,009.62 and 46,808.13 is: 64,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,618.91 : 114,009.62 = 46,808.13 : x
  2. Step 2: Convert to fraction form
    82,618.91/114,009.62 = 46,808.13/x
  3. Step 3: Cross multiply
    82,618.91x = 114,009.62 × 46,808.13
  4. Step 4: Simplify right side
    82,618.91x = 5,336,577,114.21
  5. Step 5: Solve for x
    x = 5,336,577,114.21/82,618.91
  6. Step 6: Final answer
    x = 64,592.68

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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.