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Finding the Fourth Proportional to 85,083.04, 117,400.08 and 47,350

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Solution

The fourth proportional to 85,083.04, 117,400.08 and 47,350 is: 65,334.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,083.04 : 117,400.08 = 47,350 : x
  2. Step 2: Convert to fraction form
    85,083.04/117,400.08 = 47,350/x
  3. Step 3: Cross multiply
    85,083.04x = 117,400.08 × 47,350
  4. Step 4: Simplify right side
    85,083.04x = 5,558,893,788
  5. Step 5: Solve for x
    x = 5,558,893,788/85,083.04
  6. Step 6: Final answer
    x = 65,334.92

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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.