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Finding the Fourth Proportional to 57,657, 79,525.38 and 37,476.24

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Solution

The fourth proportional to 57,657, 79,525.38 and 37,476.24 is: 51,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,657 : 79,525.38 = 37,476.24 : x
  2. Step 2: Convert to fraction form
    57,657/79,525.38 = 37,476.24/x
  3. Step 3: Cross multiply
    57,657x = 79,525.38 × 37,476.24
  4. Step 4: Simplify right side
    57,657x = 2,980,312,226.97
  5. Step 5: Solve for x
    x = 2,980,312,226.97/57,657
  6. Step 6: Final answer
    x = 51,690.38

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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.