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Finding the Fourth Proportional to 85,023.81, 117,332.97 and 47,298.06

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Solution

The fourth proportional to 85,023.81, 117,332.97 and 47,298.06 is: 65,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,023.81 : 117,332.97 = 47,298.06 : x
  2. Step 2: Convert to fraction form
    85,023.81/117,332.97 = 47,298.06/x
  3. Step 3: Cross multiply
    85,023.81x = 117,332.97 × 47,298.06
  4. Step 4: Simplify right side
    85,023.81x = 5,549,621,855.04
  5. Step 5: Solve for x
    x = 5,549,621,855.04/85,023.81
  6. Step 6: Final answer
    x = 65,271.39

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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.