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Finding the Fourth Proportional to 29,815.32, 44,722.98 and 9,038.82

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Solution

The fourth proportional to 29,815.32, 44,722.98 and 9,038.82 is: 13,558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,815.32 : 44,722.98 = 9,038.82 : x
  2. Step 2: Convert to fraction form
    29,815.32/44,722.98 = 9,038.82/x
  3. Step 3: Cross multiply
    29,815.32x = 44,722.98 × 9,038.82
  4. Step 4: Simplify right side
    29,815.32x = 404,242,966.08
  5. Step 5: Solve for x
    x = 404,242,966.08/29,815.32
  6. Step 6: Final answer
    x = 13,558.23

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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.