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Finding the Fourth Proportional to 85,822.80, 118,442.43 and 47,594.31

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Solution

The fourth proportional to 85,822.80, 118,442.43 and 47,594.31 is: 65,684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,822.80 : 118,442.43 = 47,594.31 : x
  2. Step 2: Convert to fraction form
    85,822.80/118,442.43 = 47,594.31/x
  3. Step 3: Cross multiply
    85,822.80x = 118,442.43 × 47,594.31
  4. Step 4: Simplify right side
    85,822.80x = 5,637,185,730.57
  5. Step 5: Solve for x
    x = 5,637,185,730.57/85,822.80
  6. Step 6: Final answer
    x = 65,684.01

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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.