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Finding the Fourth Proportional to 28,048.50, 42,079.44 and 9,580.50

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Solution

The fourth proportional to 28,048.50, 42,079.44 and 9,580.50 is: 14,373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,048.50 : 42,079.44 = 9,580.50 : x
  2. Step 2: Convert to fraction form
    28,048.50/42,079.44 = 9,580.50/x
  3. Step 3: Cross multiply
    28,048.50x = 42,079.44 × 9,580.50
  4. Step 4: Simplify right side
    28,048.50x = 403,142,074.92
  5. Step 5: Solve for x
    x = 403,142,074.92/28,048.50
  6. Step 6: Final answer
    x = 14,373.04

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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.