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Finding the Fourth Proportional to 30,737.04, 46,104.48 and 9,960

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Solution

The fourth proportional to 30,737.04, 46,104.48 and 9,960 is: 14,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,737.04 : 46,104.48 = 9,960 : x
  2. Step 2: Convert to fraction form
    30,737.04/46,104.48 = 9,960/x
  3. Step 3: Cross multiply
    30,737.04x = 46,104.48 × 9,960
  4. Step 4: Simplify right side
    30,737.04x = 459,200,620.80
  5. Step 5: Solve for x
    x = 459,200,620.80/30,737.04
  6. Step 6: Final answer
    x = 14,939.65

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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.