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Finding the Fourth Proportional to 29,714.77, 44,565 and 8,649.10

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Solution

The fourth proportional to 29,714.77, 44,565 and 8,649.10 is: 12,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.77 : 44,565 = 8,649.10 : x
  2. Step 2: Convert to fraction form
    29,714.77/44,565 = 8,649.10/x
  3. Step 3: Cross multiply
    29,714.77x = 44,565 × 8,649.10
  4. Step 4: Simplify right side
    29,714.77x = 385,447,141.50
  5. Step 5: Solve for x
    x = 385,447,141.50/29,714.77
  6. Step 6: Final answer
    x = 12,971.57

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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.