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Finding the Fourth Proportional to 82,770.02, 114,225.20 and 46,961.54

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Solution

The fourth proportional to 82,770.02, 114,225.20 and 46,961.54 is: 64,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,770.02 : 114,225.20 = 46,961.54 : x
  2. Step 2: Convert to fraction form
    82,770.02/114,225.20 = 46,961.54/x
  3. Step 3: Cross multiply
    82,770.02x = 114,225.20 × 46,961.54
  4. Step 4: Simplify right side
    82,770.02x = 5,364,191,298.81
  5. Step 5: Solve for x
    x = 5,364,191,298.81/82,770.02
  6. Step 6: Final answer
    x = 64,808.38

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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.