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Finding the Fourth Proportional to 47,655.04, 71,483.10 and 16,483

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Solution

The fourth proportional to 47,655.04, 71,483.10 and 16,483 is: 24,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,655.04 : 71,483.10 = 16,483 : x
  2. Step 2: Convert to fraction form
    47,655.04/71,483.10 = 16,483/x
  3. Step 3: Cross multiply
    47,655.04x = 71,483.10 × 16,483
  4. Step 4: Simplify right side
    47,655.04x = 1,178,255,937.30
  5. Step 5: Solve for x
    x = 1,178,255,937.30/47,655.04
  6. Step 6: Final answer
    x = 24,724.69

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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.