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Finding the Fourth Proportional to 35,184.40, 52,731.80 and 14,384.40

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Solution

The fourth proportional to 35,184.40, 52,731.80 and 14,384.40 is: 21,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,184.40 : 52,731.80 = 14,384.40 : x
  2. Step 2: Convert to fraction form
    35,184.40/52,731.80 = 14,384.40/x
  3. Step 3: Cross multiply
    35,184.40x = 52,731.80 × 14,384.40
  4. Step 4: Simplify right side
    35,184.40x = 758,515,303.92
  5. Step 5: Solve for x
    x = 758,515,303.92/35,184.40
  6. Step 6: Final answer
    x = 21,558.28

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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.