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Finding the Fourth Proportional to 45,674.79, 63,041.37 and 27,766

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Solution

The fourth proportional to 45,674.79, 63,041.37 and 27,766 is: 38,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,674.79 : 63,041.37 = 27,766 : x
  2. Step 2: Convert to fraction form
    45,674.79/63,041.37 = 27,766/x
  3. Step 3: Cross multiply
    45,674.79x = 63,041.37 × 27,766
  4. Step 4: Simplify right side
    45,674.79x = 1,750,406,679.42
  5. Step 5: Solve for x
    x = 1,750,406,679.42/45,674.79
  6. Step 6: Final answer
    x = 38,323.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.