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Finding the Fourth Proportional to 85,604.04, 118,127.16 and 47,871

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Solution

The fourth proportional to 85,604.04, 118,127.16 and 47,871 is: 66,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,604.04 : 118,127.16 = 47,871 : x
  2. Step 2: Convert to fraction form
    85,604.04/118,127.16 = 47,871/x
  3. Step 3: Cross multiply
    85,604.04x = 118,127.16 × 47,871
  4. Step 4: Simplify right side
    85,604.04x = 5,654,865,276.36
  5. Step 5: Solve for x
    x = 5,654,865,276.36/85,604.04
  6. Step 6: Final answer
    x = 66,058.39

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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.