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Finding the Fourth Proportional to 72,964.80, 109,113.66 and 53,041.22

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Solution

The fourth proportional to 72,964.80, 109,113.66 and 53,041.22 is: 79,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,964.80 : 109,113.66 = 53,041.22 : x
  2. Step 2: Convert to fraction form
    72,964.80/109,113.66 = 53,041.22/x
  3. Step 3: Cross multiply
    72,964.80x = 109,113.66 × 53,041.22
  4. Step 4: Simplify right side
    72,964.80x = 5,787,521,645.07
  5. Step 5: Solve for x
    x = 5,787,521,645.07/72,964.80
  6. Step 6: Final answer
    x = 79,319.37

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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.