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Finding the Fourth Proportional to 85,495.94, 117,984.15 and 47,770.22

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Solution

The fourth proportional to 85,495.94, 117,984.15 and 47,770.22 is: 65,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,495.94 : 117,984.15 = 47,770.22 : x
  2. Step 2: Convert to fraction form
    85,495.94/117,984.15 = 47,770.22/x
  3. Step 3: Cross multiply
    85,495.94x = 117,984.15 × 47,770.22
  4. Step 4: Simplify right side
    85,495.94x = 5,636,128,802.01
  5. Step 5: Solve for x
    x = 5,636,128,802.01/85,495.94
  6. Step 6: Final answer
    x = 65,922.77

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1.5x scale

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.