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Finding the Fourth Proportional to 42,057.65, 63,068.02 and 15,743.94

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Solution

The fourth proportional to 42,057.65, 63,068.02 and 15,743.94 is: 23,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,057.65 : 63,068.02 = 15,743.94 : x
  2. Step 2: Convert to fraction form
    42,057.65/63,068.02 = 15,743.94/x
  3. Step 3: Cross multiply
    42,057.65x = 63,068.02 × 15,743.94
  4. Step 4: Simplify right side
    42,057.65x = 992,939,083.44
  5. Step 5: Solve for x
    x = 992,939,083.44/42,057.65
  6. Step 6: Final answer
    x = 23,609.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.