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Finding the Fourth Proportional to 28,537.78, 42,802.44 and 11,005.42

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Solution

The fourth proportional to 28,537.78, 42,802.44 and 11,005.42 is: 16,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,537.78 : 42,802.44 = 11,005.42 : x
  2. Step 2: Convert to fraction form
    28,537.78/42,802.44 = 11,005.42/x
  3. Step 3: Cross multiply
    28,537.78x = 42,802.44 × 11,005.42
  4. Step 4: Simplify right side
    28,537.78x = 471,058,829.22
  5. Step 5: Solve for x
    x = 471,058,829.22/28,537.78
  6. Step 6: Final answer
    x = 16,506.50

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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.