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Finding the Fourth Proportional to 73,316, 101,176.08 and 39,782

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Solution

The fourth proportional to 73,316, 101,176.08 and 39,782 is: 54,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,316 : 101,176.08 = 39,782 : x
  2. Step 2: Convert to fraction form
    73,316/101,176.08 = 39,782/x
  3. Step 3: Cross multiply
    73,316x = 101,176.08 × 39,782
  4. Step 4: Simplify right side
    73,316x = 4,024,986,814.56
  5. Step 5: Solve for x
    x = 4,024,986,814.56/73,316
  6. Step 6: Final answer
    x = 54,899.16

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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.