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Finding the Fourth Proportional to 94,783.44, 142,127.44 and 31,581.16

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Solution

The fourth proportional to 94,783.44, 142,127.44 and 31,581.16 is: 47,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,783.44 : 142,127.44 = 31,581.16 : x
  2. Step 2: Convert to fraction form
    94,783.44/142,127.44 = 31,581.16/x
  3. Step 3: Cross multiply
    94,783.44x = 142,127.44 × 31,581.16
  4. Step 4: Simplify right side
    94,783.44x = 4,488,549,423.03
  5. Step 5: Solve for x
    x = 4,488,549,423.03/94,783.44
  6. Step 6: Final answer
    x = 47,355.84

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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.