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Finding the Fourth Proportional to 35,573.76, 49,053.60 and 24,960

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Solution

The fourth proportional to 35,573.76, 49,053.60 and 24,960 is: 34,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,573.76 : 49,053.60 = 24,960 : x
  2. Step 2: Convert to fraction form
    35,573.76/49,053.60 = 24,960/x
  3. Step 3: Cross multiply
    35,573.76x = 49,053.60 × 24,960
  4. Step 4: Simplify right side
    35,573.76x = 1,224,377,856
  5. Step 5: Solve for x
    x = 1,224,377,856/35,573.76
  6. Step 6: Final answer
    x = 34,418.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.