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Finding the Fourth Proportional to 35,762.52, 49,340.86 and 20,653.19

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Solution

The fourth proportional to 35,762.52, 49,340.86 and 20,653.19 is: 28,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762.52 : 49,340.86 = 20,653.19 : x
  2. Step 2: Convert to fraction form
    35,762.52/49,340.86 = 20,653.19/x
  3. Step 3: Cross multiply
    35,762.52x = 49,340.86 × 20,653.19
  4. Step 4: Simplify right side
    35,762.52x = 1,019,046,156.34
  5. Step 5: Solve for x
    x = 1,019,046,156.34/35,762.52
  6. Step 6: Final answer
    x = 28,494.81

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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.