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Finding the Fourth Proportional to 85,023.32, 117,332.28 and 47,297.57

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Solution

The fourth proportional to 85,023.32, 117,332.28 and 47,297.57 is: 65,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,023.32 : 117,332.28 = 47,297.57 : x
  2. Step 2: Convert to fraction form
    85,023.32/117,332.28 = 47,297.57/x
  3. Step 3: Cross multiply
    85,023.32x = 117,332.28 × 47,297.57
  4. Step 4: Simplify right side
    85,023.32x = 5,549,531,139.90
  5. Step 5: Solve for x
    x = 5,549,531,139.90/85,023.32
  6. Step 6: Final answer
    x = 65,270.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.