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Finding the Fourth Proportional to 39,384.32, 59,063.74 and 13,082

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Solution

The fourth proportional to 39,384.32, 59,063.74 and 13,082 is: 19,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,384.32 : 59,063.74 = 13,082 : x
  2. Step 2: Convert to fraction form
    39,384.32/59,063.74 = 13,082/x
  3. Step 3: Cross multiply
    39,384.32x = 59,063.74 × 13,082
  4. Step 4: Simplify right side
    39,384.32x = 772,671,846.68
  5. Step 5: Solve for x
    x = 772,671,846.68/39,384.32
  6. Step 6: Final answer
    x = 19,618.77

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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.