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Finding the Fourth Proportional to 82,881.40, 114,366.18 and 56,082.28

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Solution

The fourth proportional to 82,881.40, 114,366.18 and 56,082.28 is: 77,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,881.40 : 114,366.18 = 56,082.28 : x
  2. Step 2: Convert to fraction form
    82,881.40/114,366.18 = 56,082.28/x
  3. Step 3: Cross multiply
    82,881.40x = 114,366.18 × 56,082.28
  4. Step 4: Simplify right side
    82,881.40x = 6,413,916,129.29
  5. Step 5: Solve for x
    x = 6,413,916,129.29/82,881.40
  6. Step 6: Final answer
    x = 77,386.68

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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.