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Finding the Fourth Proportional to 85,143.40, 117,501.54 and 47,417.65

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Solution

The fourth proportional to 85,143.40, 117,501.54 and 47,417.65 is: 65,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,143.40 : 117,501.54 = 47,417.65 : x
  2. Step 2: Convert to fraction form
    85,143.40/117,501.54 = 47,417.65/x
  3. Step 3: Cross multiply
    85,143.40x = 117,501.54 × 47,417.65
  4. Step 4: Simplify right side
    85,143.40x = 5,571,647,191.93
  5. Step 5: Solve for x
    x = 5,571,647,191.93/85,143.40
  6. Step 6: Final answer
    x = 65,438.39

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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.