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Finding the Fourth Proportional to 28,048.32, 42,063.84 and 9,576

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Solution

The fourth proportional to 28,048.32, 42,063.84 and 9,576 is: 14,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,048.32 : 42,063.84 = 9,576 : x
  2. Step 2: Convert to fraction form
    28,048.32/42,063.84 = 9,576/x
  3. Step 3: Cross multiply
    28,048.32x = 42,063.84 × 9,576
  4. Step 4: Simplify right side
    28,048.32x = 402,803,331.84
  5. Step 5: Solve for x
    x = 402,803,331.84/28,048.32
  6. Step 6: Final answer
    x = 14,361.05

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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.