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Finding the Fourth Proportional to 53,403.81, 73,696.92 and 31,903.32

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Solution

The fourth proportional to 53,403.81, 73,696.92 and 31,903.32 is: 44,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,403.81 : 73,696.92 = 31,903.32 : x
  2. Step 2: Convert to fraction form
    53,403.81/73,696.92 = 31,903.32/x
  3. Step 3: Cross multiply
    53,403.81x = 73,696.92 × 31,903.32
  4. Step 4: Simplify right side
    53,403.81x = 2,351,176,421.77
  5. Step 5: Solve for x
    x = 2,351,176,421.77/53,403.81
  6. Step 6: Final answer
    x = 44,026.38

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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.