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Finding the Fourth Proportional to 52,904.81, 73,008.68 and 31,696.38

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Solution

The fourth proportional to 52,904.81, 73,008.68 and 31,696.38 is: 43,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,904.81 : 73,008.68 = 31,696.38 : x
  2. Step 2: Convert to fraction form
    52,904.81/73,008.68 = 31,696.38/x
  3. Step 3: Cross multiply
    52,904.81x = 73,008.68 × 31,696.38
  4. Step 4: Simplify right side
    52,904.81x = 2,314,110,706.10
  5. Step 5: Solve for x
    x = 2,314,110,706.10/52,904.81
  6. Step 6: Final answer
    x = 43,741.02

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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.