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Finding the Fourth Proportional to 35,411.88, 53,056.54 and 24,861.90

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Solution

The fourth proportional to 35,411.88, 53,056.54 and 24,861.90 is: 37,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,411.88 : 53,056.54 = 24,861.90 : x
  2. Step 2: Convert to fraction form
    35,411.88/53,056.54 = 24,861.90/x
  3. Step 3: Cross multiply
    35,411.88x = 53,056.54 × 24,861.90
  4. Step 4: Simplify right side
    35,411.88x = 1,319,086,267.52
  5. Step 5: Solve for x
    x = 1,319,086,267.52/35,411.88
  6. Step 6: Final answer
    x = 37,249.82

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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.