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Finding the Fourth Proportional to 29,938.10, 44,894.19 and 9,156.74

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Solution

The fourth proportional to 29,938.10, 44,894.19 and 9,156.74 is: 13,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,938.10 : 44,894.19 = 9,156.74 : x
  2. Step 2: Convert to fraction form
    29,938.10/44,894.19 = 9,156.74/x
  3. Step 3: Cross multiply
    29,938.10x = 44,894.19 × 9,156.74
  4. Step 4: Simplify right side
    29,938.10x = 411,084,425.34
  5. Step 5: Solve for x
    x = 411,084,425.34/29,938.10
  6. Step 6: Final answer
    x = 13,731.15

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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.