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Finding the Fourth Proportional to 84,970.98, 127,473.48 and 47,584.22

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Solution

The fourth proportional to 84,970.98, 127,473.48 and 47,584.22 is: 71,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,970.98 : 127,473.48 = 47,584.22 : x
  2. Step 2: Convert to fraction form
    84,970.98/127,473.48 = 47,584.22/x
  3. Step 3: Cross multiply
    84,970.98x = 127,473.48 × 47,584.22
  4. Step 4: Simplify right side
    84,970.98x = 6,065,725,479.12
  5. Step 5: Solve for x
    x = 6,065,725,479.12/84,970.98
  6. Step 6: Final answer
    x = 71,385.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.