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Finding the Fourth Proportional to 53,133, 73,322.16 and 29,259.42

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Solution

The fourth proportional to 53,133, 73,322.16 and 29,259.42 is: 40,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,133 : 73,322.16 = 29,259.42 : x
  2. Step 2: Convert to fraction form
    53,133/73,322.16 = 29,259.42/x
  3. Step 3: Cross multiply
    53,133x = 73,322.16 × 29,259.42
  4. Step 4: Simplify right side
    53,133x = 2,145,363,874.75
  5. Step 5: Solve for x
    x = 2,145,363,874.75/53,133
  6. Step 6: Final answer
    x = 40,377.24

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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.