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Finding the Fourth Proportional to 49,316, 73,983.72 and 16,033.92

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Solution

The fourth proportional to 49,316, 73,983.72 and 16,033.92 is: 24,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,316 : 73,983.72 = 16,033.92 : x
  2. Step 2: Convert to fraction form
    49,316/73,983.72 = 16,033.92/x
  3. Step 3: Cross multiply
    49,316x = 73,983.72 × 16,033.92
  4. Step 4: Simplify right side
    49,316x = 1,186,249,047.78
  5. Step 5: Solve for x
    x = 1,186,249,047.78/49,316
  6. Step 6: Final answer
    x = 24,054.04

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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.