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Finding the Fourth Proportional to 82,926.59, 114,434.37 and 47,111.63

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Solution

The fourth proportional to 82,926.59, 114,434.37 and 47,111.63 is: 65,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,926.59 : 114,434.37 = 47,111.63 : x
  2. Step 2: Convert to fraction form
    82,926.59/114,434.37 = 47,111.63/x
  3. Step 3: Cross multiply
    82,926.59x = 114,434.37 × 47,111.63
  4. Step 4: Simplify right side
    82,926.59x = 5,391,189,126.55
  5. Step 5: Solve for x
    x = 5,391,189,126.55/82,926.59
  6. Step 6: Final answer
    x = 65,011.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.