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Finding the Fourth Proportional to 82,324.96, 123,543.53 and 37,952.08

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Solution

The fourth proportional to 82,324.96, 123,543.53 and 37,952.08 is: 56,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,324.96 : 123,543.53 = 37,952.08 : x
  2. Step 2: Convert to fraction form
    82,324.96/123,543.53 = 37,952.08/x
  3. Step 3: Cross multiply
    82,324.96x = 123,543.53 × 37,952.08
  4. Step 4: Simplify right side
    82,324.96x = 4,688,733,577.74
  5. Step 5: Solve for x
    x = 4,688,733,577.74/82,324.96
  6. Step 6: Final answer
    x = 56,953.98

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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.