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Finding the Fourth Proportional to 83,294.48, 114,932.76 and 47,485.16

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Solution

The fourth proportional to 83,294.48, 114,932.76 and 47,485.16 is: 65,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,294.48 : 114,932.76 = 47,485.16 : x
  2. Step 2: Convert to fraction form
    83,294.48/114,932.76 = 47,485.16/x
  3. Step 3: Cross multiply
    83,294.48x = 114,932.76 × 47,485.16
  4. Step 4: Simplify right side
    83,294.48x = 5,457,600,497.84
  5. Step 5: Solve for x
    x = 5,457,600,497.84/83,294.48
  6. Step 6: Final answer
    x = 65,521.75

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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.