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Finding the Fourth Proportional to 82,918.65, 114,416.17 and 46,615.13

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Solution

The fourth proportional to 82,918.65, 114,416.17 and 46,615.13 is: 64,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,918.65 : 114,416.17 = 46,615.13 : x
  2. Step 2: Convert to fraction form
    82,918.65/114,416.17 = 46,615.13/x
  3. Step 3: Cross multiply
    82,918.65x = 114,416.17 × 46,615.13
  4. Step 4: Simplify right side
    82,918.65x = 5,333,524,510.20
  5. Step 5: Solve for x
    x = 5,333,524,510.20/82,918.65
  6. Step 6: Final answer
    x = 64,322.38

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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.