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Finding the Fourth Proportional to 52,952.81, 79,462.05 and 30,776.63

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Solution

The fourth proportional to 52,952.81, 79,462.05 and 30,776.63 is: 46,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952.81 : 79,462.05 = 30,776.63 : x
  2. Step 2: Convert to fraction form
    52,952.81/79,462.05 = 30,776.63/x
  3. Step 3: Cross multiply
    52,952.81x = 79,462.05 × 30,776.63
  4. Step 4: Simplify right side
    52,952.81x = 2,445,574,195.13
  5. Step 5: Solve for x
    x = 2,445,574,195.13/52,952.81
  6. Step 6: Final answer
    x = 46,184.03

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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.