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Finding the Fourth Proportional to 49,678.42, 74,525.04 and 16,402

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Solution

The fourth proportional to 49,678.42, 74,525.04 and 16,402 is: 24,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,678.42 : 74,525.04 = 16,402 : x
  2. Step 2: Convert to fraction form
    49,678.42/74,525.04 = 16,402/x
  3. Step 3: Cross multiply
    49,678.42x = 74,525.04 × 16,402
  4. Step 4: Simplify right side
    49,678.42x = 1,222,359,706.08
  5. Step 5: Solve for x
    x = 1,222,359,706.08/49,678.42
  6. Step 6: Final answer
    x = 24,605.45

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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.