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Finding the Fourth Proportional to 37,034.19, 51,111.07 and 22,703.63

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Solution

The fourth proportional to 37,034.19, 51,111.07 and 22,703.63 is: 31,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,034.19 : 51,111.07 = 22,703.63 : x
  2. Step 2: Convert to fraction form
    37,034.19/51,111.07 = 22,703.63/x
  3. Step 3: Cross multiply
    37,034.19x = 51,111.07 × 22,703.63
  4. Step 4: Simplify right side
    37,034.19x = 1,160,406,509.87
  5. Step 5: Solve for x
    x = 1,160,406,509.87/37,034.19
  6. Step 6: Final answer
    x = 31,333.38

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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.