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Finding the Fourth Proportional to 82,853.58, 114,339.26 and 45,127.82

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Solution

The fourth proportional to 82,853.58, 114,339.26 and 45,127.82 is: 62,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,853.58 : 114,339.26 = 45,127.82 : x
  2. Step 2: Convert to fraction form
    82,853.58/114,339.26 = 45,127.82/x
  3. Step 3: Cross multiply
    82,853.58x = 114,339.26 × 45,127.82
  4. Step 4: Simplify right side
    82,853.58x = 5,159,881,544.21
  5. Step 5: Solve for x
    x = 5,159,881,544.21/82,853.58
  6. Step 6: Final answer
    x = 62,277.11

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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.