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Finding the Fourth Proportional to 84,827.52, 117,061.74 and 47,101.50

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Solution

The fourth proportional to 84,827.52, 117,061.74 and 47,101.50 is: 64,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,827.52 : 117,061.74 = 47,101.50 : x
  2. Step 2: Convert to fraction form
    84,827.52/117,061.74 = 47,101.50/x
  3. Step 3: Cross multiply
    84,827.52x = 117,061.74 × 47,101.50
  4. Step 4: Simplify right side
    84,827.52x = 5,513,783,546.61
  5. Step 5: Solve for x
    x = 5,513,783,546.61/84,827.52
  6. Step 6: Final answer
    x = 64,999.94

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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.