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Finding the Fourth Proportional to 29,916.75, 44,875.13 and 8,028.75

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Solution

The fourth proportional to 29,916.75, 44,875.13 and 8,028.75 is: 12,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,916.75 : 44,875.13 = 8,028.75 : x
  2. Step 2: Convert to fraction form
    29,916.75/44,875.13 = 8,028.75/x
  3. Step 3: Cross multiply
    29,916.75x = 44,875.13 × 8,028.75
  4. Step 4: Simplify right side
    29,916.75x = 360,291,159.84
  5. Step 5: Solve for x
    x = 360,291,159.84/29,916.75
  6. Step 6: Final answer
    x = 12,043.13

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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.