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Finding the Fourth Proportional to 82,911, 114,417.20 and 45,185.28

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Solution

The fourth proportional to 82,911, 114,417.20 and 45,185.28 is: 62,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,911 : 114,417.20 = 45,185.28 : x
  2. Step 2: Convert to fraction form
    82,911/114,417.20 = 45,185.28/x
  3. Step 3: Cross multiply
    82,911x = 114,417.20 × 45,185.28
  4. Step 4: Simplify right side
    82,911x = 5,169,973,218.82
  5. Step 5: Solve for x
    x = 5,169,973,218.82/82,911
  6. Step 6: Final answer
    x = 62,355.70

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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.