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Finding the Fourth Proportional to 82,497.96, 113,848.88 and 46,687.96

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Solution

The fourth proportional to 82,497.96, 113,848.88 and 46,687.96 is: 64,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,497.96 : 113,848.88 = 46,687.96 : x
  2. Step 2: Convert to fraction form
    82,497.96/113,848.88 = 46,687.96/x
  3. Step 3: Cross multiply
    82,497.96x = 113,848.88 × 46,687.96
  4. Step 4: Simplify right side
    82,497.96x = 5,315,371,955.48
  5. Step 5: Solve for x
    x = 5,315,371,955.48/82,497.96
  6. Step 6: Final answer
    x = 64,430.34

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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.