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Finding the Fourth Proportional to 53,136.42, 73,325.70 and 29,264.10

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Solution

The fourth proportional to 53,136.42, 73,325.70 and 29,264.10 is: 40,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,136.42 : 73,325.70 = 29,264.10 : x
  2. Step 2: Convert to fraction form
    53,136.42/73,325.70 = 29,264.10/x
  3. Step 3: Cross multiply
    53,136.42x = 73,325.70 × 29,264.10
  4. Step 4: Simplify right side
    53,136.42x = 2,145,810,617.37
  5. Step 5: Solve for x
    x = 2,145,810,617.37/53,136.42
  6. Step 6: Final answer
    x = 40,383.05

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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.