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Finding the Fourth Proportional to 29,875.86, 44,816.10 and 7,689.46

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Solution

The fourth proportional to 29,875.86, 44,816.10 and 7,689.46 is: 11,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,875.86 : 44,816.10 = 7,689.46 : x
  2. Step 2: Convert to fraction form
    29,875.86/44,816.10 = 7,689.46/x
  3. Step 3: Cross multiply
    29,875.86x = 44,816.10 × 7,689.46
  4. Step 4: Simplify right side
    29,875.86x = 344,611,608.31
  5. Step 5: Solve for x
    x = 344,611,608.31/29,875.86
  6. Step 6: Final answer
    x = 11,534.78

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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.