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Finding the Fourth Proportional to 82,995.58, 114,526.20 and 47,178.59

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Solution

The fourth proportional to 82,995.58, 114,526.20 and 47,178.59 is: 65,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,995.58 : 114,526.20 = 47,178.59 : x
  2. Step 2: Convert to fraction form
    82,995.58/114,526.20 = 47,178.59/x
  3. Step 3: Cross multiply
    82,995.58x = 114,526.20 × 47,178.59
  4. Step 4: Simplify right side
    82,995.58x = 5,403,184,634.06
  5. Step 5: Solve for x
    x = 5,403,184,634.06/82,995.58
  6. Step 6: Final answer
    x = 65,102.08

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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.