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Finding the Fourth Proportional to 94,894.64, 142,421.76 and 47,495.52

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Solution

The fourth proportional to 94,894.64, 142,421.76 and 47,495.52 is: 71,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,894.64 : 142,421.76 = 47,495.52 : x
  2. Step 2: Convert to fraction form
    94,894.64/142,421.76 = 47,495.52/x
  3. Step 3: Cross multiply
    94,894.64x = 142,421.76 × 47,495.52
  4. Step 4: Simplify right side
    94,894.64x = 6,764,395,550.52
  5. Step 5: Solve for x
    x = 6,764,395,550.52/94,894.64
  6. Step 6: Final answer
    x = 71,283.22

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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.