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Finding the Fourth Proportional to 94,785.44, 142,130.44 and 31,583.16

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Solution

The fourth proportional to 94,785.44, 142,130.44 and 31,583.16 is: 47,358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,785.44 : 142,130.44 = 31,583.16 : x
  2. Step 2: Convert to fraction form
    94,785.44/142,130.44 = 31,583.16/x
  3. Step 3: Cross multiply
    94,785.44x = 142,130.44 × 31,583.16
  4. Step 4: Simplify right side
    94,785.44x = 4,488,928,427.39
  5. Step 5: Solve for x
    x = 4,488,928,427.39/94,785.44
  6. Step 6: Final answer
    x = 47,358.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.