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Finding the Fourth Proportional to 38,583.76, 57,875.04 and 12,288.28

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Solution

The fourth proportional to 38,583.76, 57,875.04 and 12,288.28 is: 18,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,583.76 : 57,875.04 = 12,288.28 : x
  2. Step 2: Convert to fraction form
    38,583.76/57,875.04 = 12,288.28/x
  3. Step 3: Cross multiply
    38,583.76x = 57,875.04 × 12,288.28
  4. Step 4: Simplify right side
    38,583.76x = 711,184,696.53
  5. Step 5: Solve for x
    x = 711,184,696.53/38,583.76
  6. Step 6: Final answer
    x = 18,432.23

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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.