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Finding the Fourth Proportional to 57,833.70, 79,823.85 and 37,655.46

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Solution

The fourth proportional to 57,833.70, 79,823.85 and 37,655.46 is: 51,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,833.70 : 79,823.85 = 37,655.46 : x
  2. Step 2: Convert to fraction form
    57,833.70/79,823.85 = 37,655.46/x
  3. Step 3: Cross multiply
    57,833.70x = 79,823.85 × 37,655.46
  4. Step 4: Simplify right side
    57,833.70x = 3,005,803,790.72
  5. Step 5: Solve for x
    x = 3,005,803,790.72/57,833.70
  6. Step 6: Final answer
    x = 51,973.22

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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.