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Finding the Fourth Proportional to 52,036.68, 71,802.92 and 30,518.28

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Solution

The fourth proportional to 52,036.68, 71,802.92 and 30,518.28 is: 42,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,036.68 : 71,802.92 = 30,518.28 : x
  2. Step 2: Convert to fraction form
    52,036.68/71,802.92 = 30,518.28/x
  3. Step 3: Cross multiply
    52,036.68x = 71,802.92 × 30,518.28
  4. Step 4: Simplify right side
    52,036.68x = 2,191,301,617.38
  5. Step 5: Solve for x
    x = 2,191,301,617.38/52,036.68
  6. Step 6: Final answer
    x = 42,110.71

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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.