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Finding the Fourth Proportional to 85,055.40, 117,380.34 and 47,332.08

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Solution

The fourth proportional to 85,055.40, 117,380.34 and 47,332.08 is: 65,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,055.40 : 117,380.34 = 47,332.08 : x
  2. Step 2: Convert to fraction form
    85,055.40/117,380.34 = 47,332.08/x
  3. Step 3: Cross multiply
    85,055.40x = 117,380.34 × 47,332.08
  4. Step 4: Simplify right side
    85,055.40x = 5,555,855,643.31
  5. Step 5: Solve for x
    x = 5,555,855,643.31/85,055.40
  6. Step 6: Final answer
    x = 65,320.43

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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.