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Finding the Fourth Proportional to 53,197.84, 79,561.46 and 47,316

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Solution

The fourth proportional to 53,197.84, 79,561.46 and 47,316 is: 70,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,197.84 : 79,561.46 = 47,316 : x
  2. Step 2: Convert to fraction form
    53,197.84/79,561.46 = 47,316/x
  3. Step 3: Cross multiply
    53,197.84x = 79,561.46 × 47,316
  4. Step 4: Simplify right side
    53,197.84x = 3,764,530,041.36
  5. Step 5: Solve for x
    x = 3,764,530,041.36/53,197.84
  6. Step 6: Final answer
    x = 70,764.72

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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.