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Finding the Fourth Proportional to 55,663.80, 83,495.70 and 16,224

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Solution

The fourth proportional to 55,663.80, 83,495.70 and 16,224 is: 24,336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,663.80 : 83,495.70 = 16,224 : x
  2. Step 2: Convert to fraction form
    55,663.80/83,495.70 = 16,224/x
  3. Step 3: Cross multiply
    55,663.80x = 83,495.70 × 16,224
  4. Step 4: Simplify right side
    55,663.80x = 1,354,634,236.80
  5. Step 5: Solve for x
    x = 1,354,634,236.80/55,663.80
  6. Step 6: Final answer
    x = 24,336.00

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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.