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Finding the Fourth Proportional to 82,013.78, 122,571.32 and 59,873.78

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Solution

The fourth proportional to 82,013.78, 122,571.32 and 59,873.78 is: 89,482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,013.78 : 122,571.32 = 59,873.78 : x
  2. Step 2: Convert to fraction form
    82,013.78/122,571.32 = 59,873.78/x
  3. Step 3: Cross multiply
    82,013.78x = 122,571.32 × 59,873.78
  4. Step 4: Simplify right side
    82,013.78x = 7,338,808,247.99
  5. Step 5: Solve for x
    x = 7,338,808,247.99/82,013.78
  6. Step 6: Final answer
    x = 89,482.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.