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Finding the Fourth Proportional to 29,317.68, 43,980.48 and 8,541

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Solution

The fourth proportional to 29,317.68, 43,980.48 and 8,541 is: 12,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,317.68 : 43,980.48 = 8,541 : x
  2. Step 2: Convert to fraction form
    29,317.68/43,980.48 = 8,541/x
  3. Step 3: Cross multiply
    29,317.68x = 43,980.48 × 8,541
  4. Step 4: Simplify right side
    29,317.68x = 375,637,279.68
  5. Step 5: Solve for x
    x = 375,637,279.68/29,317.68
  6. Step 6: Final answer
    x = 12,812.65

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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.