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Finding the Fourth Proportional to 94,662.60, 142,109.10 and 47,891.40

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Solution

The fourth proportional to 94,662.60, 142,109.10 and 47,891.40 is: 71,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,662.60 : 142,109.10 = 47,891.40 : x
  2. Step 2: Convert to fraction form
    94,662.60/142,109.10 = 47,891.40/x
  3. Step 3: Cross multiply
    94,662.60x = 142,109.10 × 47,891.40
  4. Step 4: Simplify right side
    94,662.60x = 6,805,803,751.74
  5. Step 5: Solve for x
    x = 6,805,803,751.74/94,662.60
  6. Step 6: Final answer
    x = 71,895.38

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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.