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Finding the Fourth Proportional to 29,549.68, 44,323.71 and 9,828.61

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Solution

The fourth proportional to 29,549.68, 44,323.71 and 9,828.61 is: 14,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,549.68 : 44,323.71 = 9,828.61 : x
  2. Step 2: Convert to fraction form
    29,549.68/44,323.71 = 9,828.61/x
  3. Step 3: Cross multiply
    29,549.68x = 44,323.71 × 9,828.61
  4. Step 4: Simplify right side
    29,549.68x = 435,640,459.34
  5. Step 5: Solve for x
    x = 435,640,459.34/29,549.68
  6. Step 6: Final answer
    x = 14,742.65

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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.