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Finding the Fourth Proportional to 43,368.57, 59,830.92 and 34,380

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Solution

The fourth proportional to 43,368.57, 59,830.92 and 34,380 is: 47,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,368.57 : 59,830.92 = 34,380 : x
  2. Step 2: Convert to fraction form
    43,368.57/59,830.92 = 34,380/x
  3. Step 3: Cross multiply
    43,368.57x = 59,830.92 × 34,380
  4. Step 4: Simplify right side
    43,368.57x = 2,056,987,029.60
  5. Step 5: Solve for x
    x = 2,056,987,029.60/43,368.57
  6. Step 6: Final answer
    x = 47,430.36

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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.