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Finding the Fourth Proportional to 82,864.84, 114,354.60 and 45,139

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Solution

The fourth proportional to 82,864.84, 114,354.60 and 45,139 is: 62,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,864.84 : 114,354.60 = 45,139 : x
  2. Step 2: Convert to fraction form
    82,864.84/114,354.60 = 45,139/x
  3. Step 3: Cross multiply
    82,864.84x = 114,354.60 × 45,139
  4. Step 4: Simplify right side
    82,864.84x = 5,161,852,289.40
  5. Step 5: Solve for x
    x = 5,161,852,289.40/82,864.84
  6. Step 6: Final answer
    x = 62,292.43

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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.