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Finding the Fourth Proportional to 85,688.80, 118,250.88 and 47,963

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Solution

The fourth proportional to 85,688.80, 118,250.88 and 47,963 is: 66,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,688.80 : 118,250.88 = 47,963 : x
  2. Step 2: Convert to fraction form
    85,688.80/118,250.88 = 47,963/x
  3. Step 3: Cross multiply
    85,688.80x = 118,250.88 × 47,963
  4. Step 4: Simplify right side
    85,688.80x = 5,671,666,957.44
  5. Step 5: Solve for x
    x = 5,671,666,957.44/85,688.80
  6. Step 6: Final answer
    x = 66,189.13

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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.