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Finding the Fourth Proportional to 29,916.63, 44,871.59 and 7,730.12

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Solution

The fourth proportional to 29,916.63, 44,871.59 and 7,730.12 is: 11,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,916.63 : 44,871.59 = 7,730.12 : x
  2. Step 2: Convert to fraction form
    29,916.63/44,871.59 = 7,730.12/x
  3. Step 3: Cross multiply
    29,916.63x = 44,871.59 × 7,730.12
  4. Step 4: Simplify right side
    29,916.63x = 346,862,512.28
  5. Step 5: Solve for x
    x = 346,862,512.28/29,916.63
  6. Step 6: Final answer
    x = 11,594.30

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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.