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Finding the Fourth Proportional to 68,082.93, 102,098.88 and 30,641.49

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Solution

The fourth proportional to 68,082.93, 102,098.88 and 30,641.49 is: 45,950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,082.93 : 102,098.88 = 30,641.49 : x
  2. Step 2: Convert to fraction form
    68,082.93/102,098.88 = 30,641.49/x
  3. Step 3: Cross multiply
    68,082.93x = 102,098.88 × 30,641.49
  4. Step 4: Simplify right side
    68,082.93x = 3,128,461,810.53
  5. Step 5: Solve for x
    x = 3,128,461,810.53/68,082.93
  6. Step 6: Final answer
    x = 45,950.75

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1.5x scale

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.