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Finding the Fourth Proportional to 49,602, 74,384.64 and 16,312.35

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Solution

The fourth proportional to 49,602, 74,384.64 and 16,312.35 is: 24,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,602 : 74,384.64 = 16,312.35 : x
  2. Step 2: Convert to fraction form
    49,602/74,384.64 = 16,312.35/x
  3. Step 3: Cross multiply
    49,602x = 74,384.64 × 16,312.35
  4. Step 4: Simplify right side
    49,602x = 1,213,388,282.30
  5. Step 5: Solve for x
    x = 1,213,388,282.30/49,602
  6. Step 6: Final answer
    x = 24,462.49

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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.