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Finding the Fourth Proportional to 57,877.29, 86,578.34 and 46,213.29

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Solution

The fourth proportional to 57,877.29, 86,578.34 and 46,213.29 is: 69,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,877.29 : 86,578.34 = 46,213.29 : x
  2. Step 2: Convert to fraction form
    57,877.29/86,578.34 = 46,213.29/x
  3. Step 3: Cross multiply
    57,877.29x = 86,578.34 × 46,213.29
  4. Step 4: Simplify right side
    57,877.29x = 4,001,069,703.07
  5. Step 5: Solve for x
    x = 4,001,069,703.07/57,877.29
  6. Step 6: Final answer
    x = 69,130.22

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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.