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Finding the Fourth Proportional to 29,756.79, 44,634.98 and 7,569.88

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Solution

The fourth proportional to 29,756.79, 44,634.98 and 7,569.88 is: 11,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,756.79 : 44,634.98 = 7,569.88 : x
  2. Step 2: Convert to fraction form
    29,756.79/44,634.98 = 7,569.88/x
  3. Step 3: Cross multiply
    29,756.79x = 44,634.98 × 7,569.88
  4. Step 4: Simplify right side
    29,756.79x = 337,881,442.40
  5. Step 5: Solve for x
    x = 337,881,442.40/29,756.79
  6. Step 6: Final answer
    x = 11,354.77

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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.