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Finding the Fourth Proportional to 29,506.68, 44,264.48 and 9,780.75

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Solution

The fourth proportional to 29,506.68, 44,264.48 and 9,780.75 is: 14,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,506.68 : 44,264.48 = 9,780.75 : x
  2. Step 2: Convert to fraction form
    29,506.68/44,264.48 = 9,780.75/x
  3. Step 3: Cross multiply
    29,506.68x = 44,264.48 × 9,780.75
  4. Step 4: Simplify right side
    29,506.68x = 432,939,763.86
  5. Step 5: Solve for x
    x = 432,939,763.86/29,506.68
  6. Step 6: Final answer
    x = 14,672.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.