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Finding the Fourth Proportional to 82,957.36, 114,444.96 and 56,090.32

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Solution

The fourth proportional to 82,957.36, 114,444.96 and 56,090.32 is: 77,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957.36 : 114,444.96 = 56,090.32 : x
  2. Step 2: Convert to fraction form
    82,957.36/114,444.96 = 56,090.32/x
  3. Step 3: Cross multiply
    82,957.36x = 114,444.96 × 56,090.32
  4. Step 4: Simplify right side
    82,957.36x = 6,419,254,428.79
  5. Step 5: Solve for x
    x = 6,419,254,428.79/82,957.36
  6. Step 6: Final answer
    x = 77,380.17

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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.