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Finding the Fourth Proportional to 72,842.80, 109,307.40 and 47,954.20

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Solution

The fourth proportional to 72,842.80, 109,307.40 and 47,954.20 is: 71,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,842.80 : 109,307.40 = 47,954.20 : x
  2. Step 2: Convert to fraction form
    72,842.80/109,307.40 = 47,954.20/x
  3. Step 3: Cross multiply
    72,842.80x = 109,307.40 × 47,954.20
  4. Step 4: Simplify right side
    72,842.80x = 5,241,748,921.08
  5. Step 5: Solve for x
    x = 5,241,748,921.08/72,842.80
  6. Step 6: Final answer
    x = 71,959.74

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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.