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Finding the Fourth Proportional to 85,497.08, 117,987.90 and 47,771.24

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Solution

The fourth proportional to 85,497.08, 117,987.90 and 47,771.24 is: 65,925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,497.08 : 117,987.90 = 47,771.24 : x
  2. Step 2: Convert to fraction form
    85,497.08/117,987.90 = 47,771.24/x
  3. Step 3: Cross multiply
    85,497.08x = 117,987.90 × 47,771.24
  4. Step 4: Simplify right side
    85,497.08x = 5,636,428,288.00
  5. Step 5: Solve for x
    x = 5,636,428,288.00/85,497.08
  6. Step 6: Final answer
    x = 65,925.39

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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.