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Finding the Fourth Proportional to 52,751.38, 72,802.75 and 30,095.96

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Solution

The fourth proportional to 52,751.38, 72,802.75 and 30,095.96 is: 41,535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,751.38 : 72,802.75 = 30,095.96 : x
  2. Step 2: Convert to fraction form
    52,751.38/72,802.75 = 30,095.96/x
  3. Step 3: Cross multiply
    52,751.38x = 72,802.75 × 30,095.96
  4. Step 4: Simplify right side
    52,751.38x = 2,191,068,651.89
  5. Step 5: Solve for x
    x = 2,191,068,651.89/52,751.38
  6. Step 6: Final answer
    x = 41,535.76

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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.