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Finding the Fourth Proportional to 82,277.16, 123,421.50 and 40,713

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Solution

The fourth proportional to 82,277.16, 123,421.50 and 40,713 is: 61,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,277.16 : 123,421.50 = 40,713 : x
  2. Step 2: Convert to fraction form
    82,277.16/123,421.50 = 40,713/x
  3. Step 3: Cross multiply
    82,277.16x = 123,421.50 × 40,713
  4. Step 4: Simplify right side
    82,277.16x = 5,024,859,529.50
  5. Step 5: Solve for x
    x = 5,024,859,529.50/82,277.16
  6. Step 6: Final answer
    x = 61,072.35

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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.