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Finding the Fourth Proportional to 82,774.56, 114,362.64 and 57,735.84

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Solution

The fourth proportional to 82,774.56, 114,362.64 and 57,735.84 is: 79,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,774.56 : 114,362.64 = 57,735.84 : x
  2. Step 2: Convert to fraction form
    82,774.56/114,362.64 = 57,735.84/x
  3. Step 3: Cross multiply
    82,774.56x = 114,362.64 × 57,735.84
  4. Step 4: Simplify right side
    82,774.56x = 6,602,823,085.02
  5. Step 5: Solve for x
    x = 6,602,823,085.02/82,774.56
  6. Step 6: Final answer
    x = 79,768.75

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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.