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Finding the Fourth Proportional to 29,762.75, 44,646.74 and 11,042.99

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Solution

The fourth proportional to 29,762.75, 44,646.74 and 11,042.99 is: 16,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.75 : 44,646.74 = 11,042.99 : x
  2. Step 2: Convert to fraction form
    29,762.75/44,646.74 = 11,042.99/x
  3. Step 3: Cross multiply
    29,762.75x = 44,646.74 × 11,042.99
  4. Step 4: Simplify right side
    29,762.75x = 493,033,224.90
  5. Step 5: Solve for x
    x = 493,033,224.90/29,762.75
  6. Step 6: Final answer
    x = 16,565.45

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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.