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Finding the Fourth Proportional to 52,965.94, 79,459.80 and 15,527.20

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Solution

The fourth proportional to 52,965.94, 79,459.80 and 15,527.20 is: 23,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,965.94 : 79,459.80 = 15,527.20 : x
  2. Step 2: Convert to fraction form
    52,965.94/79,459.80 = 15,527.20/x
  3. Step 3: Cross multiply
    52,965.94x = 79,459.80 × 15,527.20
  4. Step 4: Simplify right side
    52,965.94x = 1,233,788,206.56
  5. Step 5: Solve for x
    x = 1,233,788,206.56/52,965.94
  6. Step 6: Final answer
    x = 23,293.99

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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.