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Finding the Fourth Proportional to 37,065.69, 51,150.76 and 20,070.14

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Solution

The fourth proportional to 37,065.69, 51,150.76 and 20,070.14 is: 27,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,065.69 : 51,150.76 = 20,070.14 : x
  2. Step 2: Convert to fraction form
    37,065.69/51,150.76 = 20,070.14/x
  3. Step 3: Cross multiply
    37,065.69x = 51,150.76 × 20,070.14
  4. Step 4: Simplify right side
    37,065.69x = 1,026,602,608.38
  5. Step 5: Solve for x
    x = 1,026,602,608.38/37,065.69
  6. Step 6: Final answer
    x = 27,696.84

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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.