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Finding the Fourth Proportional to 82,952.16, 114,476.16 and 51,142.08

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Solution

The fourth proportional to 82,952.16, 114,476.16 and 51,142.08 is: 70,577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952.16 : 114,476.16 = 51,142.08 : x
  2. Step 2: Convert to fraction form
    82,952.16/114,476.16 = 51,142.08/x
  3. Step 3: Cross multiply
    82,952.16x = 114,476.16 × 51,142.08
  4. Step 4: Simplify right side
    82,952.16x = 5,854,548,932.81
  5. Step 5: Solve for x
    x = 5,854,548,932.81/82,952.16
  6. Step 6: Final answer
    x = 70,577.41

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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.