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Finding the Fourth Proportional to 28,547.82, 42,797.12 and 11,029.94

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Solution

The fourth proportional to 28,547.82, 42,797.12 and 11,029.94 is: 16,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,547.82 : 42,797.12 = 11,029.94 : x
  2. Step 2: Convert to fraction form
    28,547.82/42,797.12 = 11,029.94/x
  3. Step 3: Cross multiply
    28,547.82x = 42,797.12 × 11,029.94
  4. Step 4: Simplify right side
    28,547.82x = 472,049,665.77
  5. Step 5: Solve for x
    x = 472,049,665.77/28,547.82
  6. Step 6: Final answer
    x = 16,535.40

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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.