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Finding the Fourth Proportional to 29,490.48, 40,738.14 and 20,533.50

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Solution

The fourth proportional to 29,490.48, 40,738.14 and 20,533.50 is: 28,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,490.48 : 40,738.14 = 20,533.50 : x
  2. Step 2: Convert to fraction form
    29,490.48/40,738.14 = 20,533.50/x
  3. Step 3: Cross multiply
    29,490.48x = 40,738.14 × 20,533.50
  4. Step 4: Simplify right side
    29,490.48x = 836,496,597.69
  5. Step 5: Solve for x
    x = 836,496,597.69/29,490.48
  6. Step 6: Final answer
    x = 28,364.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.