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Finding the Fourth Proportional to 82,864.99, 114,355.02 and 47,055.97

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Solution

The fourth proportional to 82,864.99, 114,355.02 and 47,055.97 is: 64,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,864.99 : 114,355.02 = 47,055.97 : x
  2. Step 2: Convert to fraction form
    82,864.99/114,355.02 = 47,055.97/x
  3. Step 3: Cross multiply
    82,864.99x = 114,355.02 × 47,055.97
  4. Step 4: Simplify right side
    82,864.99x = 5,381,086,390.47
  5. Step 5: Solve for x
    x = 5,381,086,390.47/82,864.99
  6. Step 6: Final answer
    x = 64,938.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.