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Finding the Fourth Proportional to 28,027.32, 42,045.30 and 9,555

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Solution

The fourth proportional to 28,027.32, 42,045.30 and 9,555 is: 14,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,027.32 : 42,045.30 = 9,555 : x
  2. Step 2: Convert to fraction form
    28,027.32/42,045.30 = 9,555/x
  3. Step 3: Cross multiply
    28,027.32x = 42,045.30 × 9,555
  4. Step 4: Simplify right side
    28,027.32x = 401,742,841.50
  5. Step 5: Solve for x
    x = 401,742,841.50/28,027.32
  6. Step 6: Final answer
    x = 14,333.97

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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.