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Finding the Fourth Proportional to 30,693.16, 42,315.78 and 20,064.52

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Solution

The fourth proportional to 30,693.16, 42,315.78 and 20,064.52 is: 27,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.16 : 42,315.78 = 20,064.52 : x
  2. Step 2: Convert to fraction form
    30,693.16/42,315.78 = 20,064.52/x
  3. Step 3: Cross multiply
    30,693.16x = 42,315.78 × 20,064.52
  4. Step 4: Simplify right side
    30,693.16x = 849,045,814.13
  5. Step 5: Solve for x
    x = 849,045,814.13/30,693.16
  6. Step 6: Final answer
    x = 27,662.38

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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.