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Finding the Fourth Proportional to 29,580.69, 44,356.05 and 9,852.33

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Solution

The fourth proportional to 29,580.69, 44,356.05 and 9,852.33 is: 14,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,580.69 : 44,356.05 = 9,852.33 : x
  2. Step 2: Convert to fraction form
    29,580.69/44,356.05 = 9,852.33/x
  3. Step 3: Cross multiply
    29,580.69x = 44,356.05 × 9,852.33
  4. Step 4: Simplify right side
    29,580.69x = 437,010,442.10
  5. Step 5: Solve for x
    x = 437,010,442.10/29,580.69
  6. Step 6: Final answer
    x = 14,773.50

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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.